Design of intelligent computing networks for nonlinear chaotic fractional Rossler system
In a recent development, the legacy of fractional-order multi-dimensional chaotic systems
has attracted numerous researchers owing to their valuable applications in cryptology …
has attracted numerous researchers owing to their valuable applications in cryptology …
A higher order hybrid-numerical approximation for a class of singularly perturbed two-dimensional convection-diffusion elliptic problem with non-smooth convection …
In this article, we examine a higher order convergent approximation for a class of singularly
perturbed two-dimensional (2-D) convection-diffusion-reaction elliptic problems with …
perturbed two-dimensional (2-D) convection-diffusion-reaction elliptic problems with …
Higher order approximations for fractional order integro-parabolic partial differential equations on an adaptive mesh with error analysis
This work deals with a higher order numerical approximation for analyzing a class of multi-
term time fractional partial integro-differential equations involving Volterra integral operators …
term time fractional partial integro-differential equations involving Volterra integral operators …
A graded mesh refinement approach for boundary layer originated singularly perturbed time‐delayed parabolic convection diffusion problems
In this work, we consider a graded mesh refinement algorithm for solving time‐delayed
parabolic partial differential equations with a small diffusion parameter. The presence of this …
parabolic partial differential equations with a small diffusion parameter. The presence of this …
A theoretical study of the fractional-order p-Laplacian nonlinear Hadamard type turbulent flow models having the Ulam–Hyers stability
In this article, we study the solvability properties of some nonlinear Hadamard type nonlocal
turbulent flow models in porous medium involving the p-Laplacian operator. Based on a …
turbulent flow models in porous medium involving the p-Laplacian operator. Based on a …
On the approximate solutions of a class of fractional order nonlinear Volterra integro-differential initial value problems and boundary value problems of first kind and …
In this work we consider a class of fractional order Volterra integro-differential equations of
first kind where the fractional derivative is considered in the Caputo sense. Here, we …
first kind where the fractional derivative is considered in the Caputo sense. Here, we …
A moving mesh refinement based optimal accurate uniformly convergent computational method for a parabolic system of boundary layer originated reaction–diffusion …
In this paper, a system of time dependent boundary layer originated reaction dominated
problems with diffusion parameters of different magnitudes, is considered for numerical …
problems with diffusion parameters of different magnitudes, is considered for numerical …
Theoretical prospects of fractional order weakly singular Volterra Integro differential equations and their approximations with convergence analysis
In this research, we study a weakly singular Volterra integro differential equation with
Caputo‐type fractional derivative. First, we derive a sufficient condition for the existence and …
Caputo‐type fractional derivative. First, we derive a sufficient condition for the existence and …
A novel finite difference technique with error estimate for time fractional partial integro-differential equation of Volterra type
S Santra, J Mohapatra - Journal of Computational and Applied Mathematics, 2022 - Elsevier
The main purpose of this work is to study the numerical solution of a time fractional partial
integro-differential equation of Volterra type, where the time derivative is defined in Caputo …
integro-differential equation of Volterra type, where the time derivative is defined in Caputo …
Adomian decomposition and homotopy perturbation method for the solution of time fractional partial integro-differential equations
This article deals with two different methods to solve a time fractional partial integro-
differential equation. The fractional derivatives are defined here in Caputo sense. The model …
differential equation. The fractional derivatives are defined here in Caputo sense. The model …