Several physical phenomena such as transformation of pollutants, energy, particles and
many others can be described by the well-known convection–diffusion equation which is a …

In this paper, an attractive idea using moving least squares (MLS) and spectral collocation
method is extended to estimate the solution of nonlinear stochastic Volterra integro …

In the current decade, the meshless methods have been developed for solving partial
differential equations. The meshless methods may be classified in two basic parts: 1. The …

The fractional diffusion equation is one of the important recent models that can efficiently
characterize various complex diffusion processes, such as in inhomogeneous or …

In this paper a numerical technique is proposed for solving the time fractional diffusion-wave
equation. We obtain a time discrete scheme based on finite difference formula. Then, we …

In this paper, a novel technique is being formulated for the numerical solution of integral
equations (IEs) as well as integro-differential equations (IDEs) of first and higher orders. The …

In this paper, an efficient and accurate meshless method is proposed for solving the time
fractional advection–diffusion equation with variable coefficients which is based on the …

In this paper, a singularly perturbed Volterra integro-differential equation is being surveyed.
On a piecewise-uniform Shishkin mesh, a fitted mesh finite difference approach is applied …

In this paper, the numerical technique with the help of the Lucas wavelets (LWs) and the
Legendre–Gauss quadrature rule is presented to study the solution of fractional Fredholm …

This paper is concerned with the moving least squares (MLS) meshless approach for the
numerical solution of two-dimensional (2D) variable-order time fractional nonlinear diffusion …