Santanu Saha Ray

Orcid: 0000-0002-2064-7050

Affiliations:
  • National Institute of Technology Rourkela, Odisha, India


According to our database1, Santanu Saha Ray authored at least 57 papers between 2005 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of five.

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Bibliography

2024
A numerical approach based on Pell polynomial for solving stochastic fractional differential equations.
Numer. Algorithms, December, 2024

2023
A new effective coherent numerical technique based on shifted Vieta-Fibonacci polynomials for solving stochastic fractional integro-differential equation.
Comput. Appl. Math., September, 2023

A localized meshfree technique for solving fractional Benjamin-Ono equation describing long internal waves in deep stratified fluids.
Commun. Nonlinear Sci. Numer. Simul., August, 2023

A Novel Study Based on Shifted Jacobi Polynomials to Find the Numerical Solutions of Nonlinear Stochastic Differential Equations Driven by Fractional Brownian Motion.
Comput. Methods Appl. Math., July, 2023

Two competent novel techniques based on two-dimensional wavelets for nonlinear variable-order Riesz space-fractional Schrödinger equations.
J. Comput. Appl. Math., May, 2023

Shifted Chebyshev spectral Galerkin method to solve stochastic Itô-Volterra integral equations driven by fractional Brownian motion appearing in mathematical physics.
Comput. Appl. Math., April, 2023

A novel method with convergence analysis based on the Jacobi wavelets for solving a system of two-dimensional Volterra integral equations.
Int. J. Comput. Math., March, 2023

An efficient numerical method based on Lucas polynomials to solve multi-dimensional stochastic Itô-Volterra integral equations.
Math. Comput. Simul., 2023

Comparison of two efficient numerical techniques based on Chelyshkov polynomial for solving stochastic Itô-Volterra integral equation.
CoRR, 2023

A new numerical technique based on Chelyshkov polynomials for solving two-dimensional stochastic Itô-Volterra Fredholm integral equation.
CoRR, 2023

2022
Numerical solution of fractional Kersten-Krasil'shchik coupled KdV-mKdV system arising in shallow water waves.
Comput. Appl. Math., September, 2022

On a wavelet-based numerical method for linear and nonlinear fractional Volterra integro-differential equations with weakly singular kernels.
Comput. Appl. Math., July, 2022

A wavelet-based novel technique for linear and nonlinear fractional Volterra-Fredholm integro-differential equations.
Comput. Appl. Math., March, 2022

Two-dimensional wavelets scheme for numerical solutions of linear and nonlinear Volterra integro-differential equations.
Math. Comput. Simul., 2022

An efficient numerical method based on Euler wavelets for solving fractional order pantograph Volterra delay-integro-differential equations.
J. Comput. Appl. Math., 2022

A novel wavelets operational matrix method for the time variable-order fractional mobile-immobile advection-dispersion model.
Eng. Comput., 2022

2021
Numerical soliton solutions of fractional Newell-Whitehead-Segel equation in binary fluid mixtures.
Comput. Appl. Math., 2021

Euler wavelets method for solving fractional-order linear Volterra-Fredholm integro-differential equations with weakly singular kernels.
Comput. Appl. Math., 2021

Numerical solution of stochastic Itô-Volterra integral equation by using Shifted Jacobi operational matrix method.
Appl. Math. Comput., 2021

2020
New Soliton Solutions of Fractional Jaulent-Miodek System with Symmetry Analysis.
Symmetry, 2020

Two-dimensional wavelets operational method for solving Volterra weakly singular partial integro-differential equations.
J. Comput. Appl. Math., 2020

An operational matrix based scheme for numerical solutions of nonlinear weakly singular partial integro-differential equations.
Appl. Math. Comput., 2020

2019
The Petrov-Galerkin finite element method for the numerical solution of time-fractional Sharma-Tasso-Olver equation.
Int. J. Model. Simul. Sci. Comput., 2019

2018
Invariant analysis and conservation laws of (2+1) dimensional time-fractional ZK-BBM equation in gravity water waves.
Comput. Math. Appl., 2018

Invariant analysis and conservation laws for the time fractional (2+1)-dimensional Zakharov-Kuznetsov modified equal width equation using Lie group analysis.
Comput. Math. Appl., 2018

2017
Chebyshev wavelet method for numerical solutions of integro-differential form of Lane-Emden type differential equations.
Int. J. Wavelets Multiresolution Inf. Process., 2017

Two-Dimensional Chebyshev Wavelet Method for Camassa-Holm Equation with Riesz Fractional Derivative Describing Propagation of Shallow Water Waves.
Fundam. Informaticae, 2017

A new Bernoulli wavelet method for accurate solutions of nonlinear fuzzy Hammerstein-Volterra delay integral equations.
Fuzzy Sets Syst., 2017

Lie symmetry analysis and exact solutions of (3+1) dimensional Yu-Toda-Sasa-Fukuyama equation in mathematical physics.
Comput. Math. Appl., 2017

Two-dimensional Legendre wavelet method for travelling wave solutions of time-fractional generalized seventh order KdV equation.
Comput. Math. Appl., 2017

On conservation laws by Lie symmetry analysis for (2+1)-dimensional Bogoyavlensky-Konopelchenko equation in wave propagation.
Comput. Math. Appl., 2017

On the solitary wave solution of fractional Kudryashov-Sinelshchikov equation describing nonlinear wave processes in a liquid containing gas bubbles.
Appl. Math. Comput., 2017

2016
Legendre spectral collocation method for the solution of the model describing biological species living together.
J. Comput. Appl. Math., 2016

Comparative experiment on the numerical solutions of Hammerstein integral equation arising from chemical phenomenon.
J. Comput. Appl. Math., 2016

A numerical approach for solving nonlinear fractional Volterra-Fredholm integro-differential equations with mixed boundary conditions.
Int. J. Wavelets Multiresolution Inf. Process., 2016

New exact solutions of nonlinear fractional acoustic wave equations in ultrasound.
Comput. Math. Appl., 2016

2015
A class of time-fractional-order continuous population models for interacting species with stability analysis.
Neural Comput. Appl., 2015

Two-dimensional Legendre wavelet method for the numerical solutions of fuzzy integro-differential equations.
J. Intell. Fuzzy Syst., 2015

Improved fractional sub-equation method for (3+1) -dimensional generalized fractional KdV-Zakharov-Kuznetsov equations.
Comput. Math. Appl., 2015

Hybrid Legendre Block-Pulse functions for the numerical solutions of system of nonlinear Fredholm-Hammerstein integral equations.
Appl. Math. Comput., 2015

Legendre spectral collocation method for Fredholm integro-differential-difference equation with variable coefficients and mixed conditions.
Appl. Math. Comput., 2015

Legendre wavelets operational method for the numerical solutions of nonlinear Volterra integro-differential equations system.
Appl. Math. Comput., 2015

A comparative study on the analytic solutions of fractional coupled sine-Gordon equations by using two reliable methods.
Appl. Math. Comput., 2015

A numerical investigation of time-fractional modified Fornberg-Whitham equation for analyzing the behavior of water waves.
Appl. Math. Comput., 2015

An investigation with Hermite Wavelets for accurate solution of Fractional Jaulent-Miodek equation associated with energy-dependent Schrödinger potential.
Appl. Math. Comput., 2015

2014
On the Solutions of Fractional Burgers-Fisher and Generalized Fisher's Equations Using Two Reliable Methods.
Int. J. Math. Math. Sci., 2014

Numerical solutions for the system of Fredholm integral equations of second kind by a new approach involving semiorthogonal B-spline wavelet collocation method.
Appl. Math. Comput., 2014

2013
Numerical solutions of (1 + 1) dimensional time fractional coupled Burger equations using new coupled fractional reduced differential transform method.
Int. J. Comput. Sci. Math., 2013

Haar wavelet operational methods for the numerical solutions of fractional order nonlinear oscillatory Van der Pol system.
Appl. Math. Comput., 2013

2012
On Haar wavelet operational matrix of general order and its application for the numerical solution of fractional Bagley Torvik equation.
Appl. Math. Comput., 2012

2008
Application of modified decomposition method for the analytical solution of space fractional diffusion equation.
Appl. Math. Comput., 2008

A new approach for the application of Adomian decomposition method for the solution of fractional space diffusion equation with insulated ends.
Appl. Math. Comput., 2008

2006
Analytical approximate solution of nonlinear dynamic system containing fractional derivative by modified decomposition method.
Appl. Math. Comput., 2006

Analytical solution of a fractional diffusion equation by Adomian decomposition method.
Appl. Math. Comput., 2006

A numerical solution of the coupled sine-Gordon equation using the modified decomposition method.
Appl. Math. Comput., 2006

2005
Analytical solution of the Bagley Torvik equation by Adomian decomposition method.
Appl. Math. Comput., 2005

An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method.
Appl. Math. Comput., 2005


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