R. K. Mohanty
Orcid: 0000-0001-6832-1239Affiliations:
- Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi, India
According to our database1,
R. K. Mohanty
authored at least 96 papers
between 1990 and 2024.
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Bibliography
2024
High-order half-step compact numerical approximation for fourth-order parabolic PDEs.
Numer. Algorithms, March, 2024
2023
Nine-point compact sixth-order approximation for two-dimensional nonlinear elliptic partial differential equations: Application to bi- and tri-harmonic boundary value problems.
Comput. Math. Appl., December, 2023
High-precision numerical method for 1D quasilinear hyperbolic equations on a time-graded mesh: application to Telegraph model equation.
Soft Comput., May, 2023
2022
A high-resolution bi-parametric unconditionally stable ADI method for 2D uniform transmission line equation.
Comput. Appl. Math., October, 2022
A high accuracy variable mesh numerical approximation for two point nonlinear BVPs with mixed boundary conditions.
Soft Comput., 2022
High precision implicit method for 3D quasilinear hyperbolic equations on a dissimilar domain: Application to 3D telegraphic equation.
Comput. Math. Appl., 2022
2021
A third-order finite difference method on a quasi-variable mesh for nonlinear two point boundary value problems with Robin boundary conditions.
Soft Comput., 2021
High-resolution half-step compact numerical approximation for 2D quasilinear elliptic equations in vector form and the estimates of normal derivatives on an irrational domain.
Soft Comput., 2021
A new high-accuracy method based on off-step cubic polynomial approximations for the solution of coupled Burgers' equations and Burgers-Huxley equation.
Eng. Comput., 2021
A new high-resolution two-level implicit method based on non-polynomial spline in tension approximations for time-dependent quasi-linear biharmonic equations with engineering applications.
Eng. Comput., 2021
Absolute stability of an implicit method based on third-order off-step discretization for the initial-value problem on a graded mesh.
Eng. Comput., 2021
On the absolute stability of a two-step third order method on a graded mesh for an initial-value problem.
Comput. Appl. Math., 2021
2020
A new two-level implicit scheme based on cubic spline approximations for the 1D time-dependent quasilinear biharmonic problems.
Eng. Comput., 2020
Highly accurate compact difference scheme for fourth order parabolic equation with Dirichlet and Neumann boundary conditions: Application to good Boussinesq equation.
Appl. Math. Comput., 2020
2019
Local meshless method for convection dominated steady and unsteady partial differential equations.
Eng. Comput., 2019
A class of two- and three-level implicit methods of order two in time and four in space based on half-step discretization for two-dimensional fourth order quasi-linear parabolic equations.
Appl. Math. Comput., 2019
2017
Numerov type variable mesh approximations for 1D unsteady quasi-linear biharmonic problem: application to Kuramoto-Sivashinsky equation.
Numer. Algorithms, 2017
High Accuracy Compact Operator Methods for Two-Dimensional Fourth Order Nonlinear Parabolic Partial Differential Equations.
Comput. Methods Appl. Math., 2017
A class of two-level implicit unconditionally stable methods for a fourth order parabolic equation.
Appl. Math. Comput., 2017
2016
A new algorithm based on spline in tension approximation for 1D quasi-linear parabolic equations on a variable mesh.
Int. J. Comput. Math., 2016
High accuracy implicit variable mesh methods for numerical study of special types of fourth order non-linear parabolic equations.
Appl. Math. Comput., 2016
High accuracy variable mesh method for nonlinear two-point boundary value problems in divergence form.
Appl. Math. Comput., 2016
2015
Operator compact method of accuracy two in time and four in space for the solution of time dependent Burgers-Huxley equation.
Numer. Algorithms, 2015
A Single Sweep AGE Algorithm based on Off-Step Discretization for the Solution of Viscous Burgers' Equation on a Variable Mesh.
Math. Comput. Sci., 2015
A new high accuracy method for two-dimensional biharmonic equation with nonlinear third derivative terms: application to Navier-Stokes equations of motion.
Int. J. Comput. Math., 2015
A new high accuracy two-level implicit off-step discretization for the system of three space dimensional quasi-linear parabolic partial differential equations.
Comput. Math. Appl., 2015
On the stability of two new two-step explicit methods for the numerical integration of second order initial value problem on a variable mesh.
Appl. Math. Lett., 2015
A new spline in compression approximation for one space dimensional quasilinear parabolic equations on a variable mesh.
Appl. Math. Comput., 2015
Compact operator method of accuracy two in time and four in space for the numerical solution of coupled viscous Burgers' equations.
Appl. Math. Comput., 2015
2014
A new modified group explicit iterative method for the numerical solution of time dependent viscous Burgers' equation.
Int. J. Model. Simul. Sci. Comput., 2014
A new high order space derivative discretization for 3D quasi-linear hyperbolic partial differential equations.
Appl. Math. Comput., 2014
A new fast algorithm based on half-step discretization for one space dimensional quasilinear hyperbolic equations.
Appl. Math. Comput., 2014
High accuracy non-polynomial spline in compression method for one-space dimensional quasi-linear hyperbolic equations with significant first order space derivative term.
Appl. Math. Comput., 2014
2013
Geometric Mesh Three-Point Discretization for Fourth-Order Nonlinear Singular Differential Equations in Polar System.
Adv. Numer. Anal., 2013
New Nonpolynomial Spline in Compression Method of O(k<sup>2</sup>+h<sup>4</sup>) for the Solution of 1D Wave Equation in Polar Coordinates.
Adv. Numer. Anal., 2013
2012
High accuracy Arithmetic Average Type discretization for the solution of two-Space dimensional nonlinear wave equations.
Int. J. Model. Simul. Sci. Comput., 2012
A Class of Numerical Methods for the Solution of Fourth-Order Ordinary Differential Equations in Polar Coordinates.
Adv. Numer. Anal., 2012
A combined approach using coupled reduced alternating group explicit (CRAGE) algorithm and sixth order off-step discretization for the solution of two point nonlinear boundary value problems.
Appl. Math. Comput., 2012
A new high accuracy two-level implicit off-step discretization for the system of two space dimensional quasi-linear parabolic partial differential equations.
Appl. Math. Comput., 2012
2011
High accuracy cubic spline finite difference approximation for the solution of one-space dimensional non-linear wave equations.
Appl. Math. Comput., 2011
TAGE iterative algorithm and nonpolynomial spline basis for the solution of nonlinear singular second order ordinary differential equations.
Appl. Math. Comput., 2011
A direct higher order discretization in singular perturbations via domain split - A computational approach.
Appl. Math. Comput., 2011
An O(k<sup>2</sup>+kh<sup>2</sup>+h<sup>2</sup>) Accurate Two-level Implicit Cubic Spline Method for One Space Dimensional Quasi-linear Parabolic Equations.
Am. J. Comput. Math., 2011
2010
On the use of AGE algorithm with a high accuracy Numerov type variable mesh discretization for 1D non-linear parabolic equations.
Numer. Algorithms, 2010
2009
High-accuracy cubic spline alternating group explicit methods for 1D quasi-linear parabolic equations.
Int. J. Comput. Math., 2009
New unconditionally stable difference schemes for the solution of multi-dimensional telegraphic equations.
Int. J. Comput. Math., 2009
Alternating group explicit iterative method for nonlinear singular Fredholm Integro-differential boundary value problems.
Int. J. Comput. Math., 2009
Third order accurate variable mesh discretization and application of TAGE iterative method for the non-linear two-point boundary value problems with homogeneous functions in integral form.
Appl. Math. Comput., 2009
A variable mesh C-SPLAGE method of accuracy O(k<sup>2</sup>h<sub>l</sub><sup>-1</sup> + kh<sub>l</sub> + h<sub>l</sub><sup>3</sup>) for 1D nonlinear parabolic equations.
Appl. Math. Comput., 2009
A new coupled approach high accuracy numerical method for the solution of 3D non-linear biharmonic equations.
Appl. Math. Comput., 2009
2007
Neural Parallel Sci. Comput., 2007
Three-step BLAGE iterative method for two-dimensional elliptic boundary value problems with singularity.
Int. J. Comput. Math., 2007
Stability interval for explicit difference schemes for multi-dimensional second-order hyperbolic equations with significant first-order space derivative terms.
Appl. Math. Comput., 2007
The smart-BLAGE algorithm for singularly perturbed 2D elliptic partial differential equations.
Appl. Math. Comput., 2007
An implicit high accuracy variable mesh scheme for 1-D non-linear singular parabolic partial differential equations.
Appl. Math. Comput., 2007
2006
A sixth order accurate AGE iterative method for non-linear singular two point boundary value problems.
J. Comput. Methods Sci. Eng., 2006
A new fourth order discretization for singularly perturbed two dimensional non-linear elliptic boundary value problems.
Appl. Math. Comput., 2006
Application of TAGE iterative algorithms to an efficient third order arithmetic average variable mesh discretization for two-point non-linear boundary value problems.
Appl. Math. Comput., 2006
A TAGE iterative method for the solution of non-linear singular two point boundary value problems using a sixth order discretization.
Appl. Math. Comput., 2006
A family of non-uniform mesh tension spline methods for singularly perturbed two-point singular boundary value problems with significant first derivatives.
Appl. Math. Comput., 2006
A class of non-uniform mesh three point arithmetic average discretization for y"=f(x, y, y') and the estimates of y'.
Appl. Math. Comput., 2006
A new stable variable mesh method for 1-D non-linear parabolic partial differential equations.
Appl. Math. Comput., 2006
2005
Non-uniform Mesh Arithmetic Average Discretization for Parabolic Initial Boundary Value Problems.
Neural Parallel Sci. Comput., 2005
A third-order-accurate variable-mesh TAGE iterative method for the numerical solution of two-point non-linear singular boundary value problems.
Int. J. Comput. Math., 2005
An non-uniform mesh cubic spline TAGE method for non-linear singular two-point boundary value problems.
Int. J. Comput. Math., 2005
Convergent spline in tension methods for singularly perturbed two-point singular boundary value problems.
Int. J. Comput. Math., 2005
Highly accurate two parameter CAGE parallel algorithms for non-linear singular two point boundary value problems.
Int. J. Comput. Math., 2005
Alternating group explicit parallel algorithms for the solution of one-space dimensional non-linear singular parabolic equations using an O(k<sup>2</sup> + h<sup>4</sup>) difference method.
Int. J. Comput. Math., 2005
On the application of the SMAGE parallel algorithms on a non-uniform mesh for the solution of non-linear two-point boundary value problems with singularity.
Int. J. Comput. Math., 2005
A class of variable mesh spline in compression methods for singularly perturbed two point singular boundary value problems.
Appl. Math. Comput., 2005
An operator splitting technique for an unconditionally stable difference method for a linear three space dimensional hyperbolic equation with variable coefficients.
Appl. Math. Comput., 2005
An unconditionally stable finite difference formula for a linear second order one space dimensional hyperbolic equation with variable coefficients.
Appl. Math. Comput., 2005
2004
Spline in compression method for the numerical solution of singularly perturbed two-point singular boundary-value problems.
Int. J. Comput. Math., 2004
Fourth-order accurate BLAGE iterative method for the solution of two-dimensional elliptic equations in polar co-ordinates.
Int. J. Comput. Math., 2004
An unconditionally stable difference scheme for the one-space-dimensional linear hyperbolic equation.
Appl. Math. Lett., 2004
An O(h<sup>4</sup>) accurate cubic spline TAGE method for nonlinear singular two point boundary value problems.
Appl. Math. Comput., 2004
An operator splitting method for an unconditionally stable difference scheme for a linear hyperbolic equation with variable coefficients in two space dimensions.
Appl. Math. Comput., 2004
2003
Tage Method for Nonlinear Singular Two Point Boundary Value Problem using a Fourth Order Difference Scheme.
Neural Parallel Sci. Comput., 2003
High Accuracy Difference Formulae for a Fourth Order Quasi-Linear Parabolic Initial Boundary Value Problem of First Kind.
Int. J. Comput. Math., 2003
The numerical solution of fourth order mildly quasi-linear parabolic initial boundary value problem of second kind.
Int. J. Comput. Math., 2003
A Fourth Order Accurate Cubic Spline Alternating Group Explicit Method for Non-Linear Singular Two Point Boundary Value Problems.
Int. J. Comput. Math., 2003
An accurate three spatial grid-point discretization of O(k<sup>2</sup>+h<sup>4</sup>) for the numerical solution of one-space dimensional unsteady quasi-linear biharmonic problem of second kind.
Appl. Math. Comput., 2003
2002
An Unconditionally Stable ADI Method for the Linear Hyperbolic Equation in Three Space Dimensions.
Int. J. Comput. Math., 2002
Alternating Group Explicit Method for the Numerical Solution of Non-Linear Singular Two-Point Boundary Value Problems Using a Fourth Order Finite Difference Method.
Int. J. Comput. Math., 2002
2001
Block iterative methods for the numerical solution of three dimensional mildly non-linear biharmonic problems of first kind.
Int. J. Comput. Math., 2001
Three point discretization of order four and six for (<i>du</i><i>: dx</i>) of the solution of non-linear singular two point boundary value problem.
Int. J. Comput. Math., 2001
A new finite difference discretization of order four for for two-dimensional quasi-linear elliptic boundary value problem.
Int. J. Comput. Math., 2001
1999
Block Iterative Methods for One Dimensional Nonlinear Biharmonic Problems on a Parallel Computer.
Parallel Algorithms Appl., 1999
New algorithms for the numerical solution of one dimensional singular biharmonic problems of second kind.
Int. J. Comput. Math., 1999
1998
Families of accurate discretizations of order two and four for 3-D mildly nonlinear biharmonic problems of second kind.
Int. J. Comput. Math., 1998
Block iterative methods for the numerical solution of two dimensional nonlinear biharmonic equations.
Int. J. Comput. Math., 1998
1996
Finite difference methods of order two and four for 2-d non-linear biharmonic problems of first kind.
Int. J. Comput. Math., 1996
1995
High accuracy difference schemes for a class of singular three space dimensional hyperbolic equations.
Int. J. Comput. Math., 1995
1991
The numerical solution of the two-dimensional unsteady navier-stokes equations using fourth-order difference method.
Int. J. Comput. Math., 1991
A higher-order difference method for 3-D parabolic partial differential equations with nonlinear first derivative terms.
Int. J. Comput. Math., 1991
1990
High order difference methods for system of id nonlinear parabolic partial differential equations.
Int. J. Comput. Math., 1990