This article deals with designing and analyzing a higher order stable numerical analysis for
the time‐fractional Kuramoto–Sivashinsky (K‐S) equation, which is a fourth‐order non …

In this work, we consider a Volterra integro-differential equation involving Caputo fractional
derivative of order α∈(0, 1). To approximate the solution, we propose two finite difference …

This paper implemented a stable numerical scheme for solving singularly perturbed linear
second-order Fredholm integro-differential equation. A parameter-uniform numerical method …

In this paper, we construct and analyze a Crank–Nicolson difference scheme for solving the
semilinear Sobolev-type equation with the Riemann–Liouville fractional integral of order …

This paper presents a numerical method for the solution of a class of ψ-fractional differential
equations involving Caputo derivative with respect to a function. Initial value problem for the …

In this article, we consider a multi‐term fractional initial value problem which has a weak
singularity at the initial time t= 0. The fractional derivatives are defined in Caputo sense. Due …

The moving least squares (MLS) approximation is used in this study to solve time-fractional
partial integro-differential equations (TFPIDE). In our approach, we approximate the time …

The main aim of this work is to construct an efficient recursive numerical technique for
solving multi-term time fractional nonlinear KdV equation. The fractional derivatives are …

An innovative simultaneous space–time Hermite wavelet method has been developed to
solve weakly singular fractional-order nonlinear integro-partial differential equations in one …

In this paper, two different numerical techniques are employed to solve the Volterra partial
integro-differential equation (PIDE) with a weakly singular kernel: Uniform Algebraic …