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 …

In this article, a new collocation technique for numerical solution of Fredholm, Volterra and
mixed Volterra-Fredholm integral equations of the second kind is introduced and also …

In this article, a wavelet collocation method based on linear Legendre multi-wavelets is
proposed for the numerical solution of the first as well as higher orders Fredholm, Volterra …

This paper investigates the partial integro-differential equation of memory type numerically.
The differential operator is discretized based on θ-finite difference schemes, while the …

The findings indicate an application of a new method of expansion of the forms (Z′/Z) and
(1/Z) to determine the solutions for wave of the solitary nature in the (2+ 1)‐dimensional …

In this paper, we apply the pseudospectral method based on the Chebyshev cardinal
function to solve the parabolic partial integro-differential equations (PIDEs). Since these …

This work is concerned with solving parabolic Volterra partial integro-differential equations
(PIDE) considering differentiable and singular kernels. The implicit finite difference scheme …

This paper focuses on an efficient spline‐based numerical technique for numerically
addressing a second‐order Volterra partial integrodifferential equation. The time derivative …

In this paper, the trigonometric cubic B-spline collocation method is extended for the solution
of a second order partial integro-differential equations with a weakly singular kernel. The …

In this article, we study on the analytical and numerical solution of two-dimensional linear
and nonlinear Volterra partial integro-differential equations with the appropriate initial …