In this paper, we propose and analyze a novel spectral scheme for the numerical solution of
a two-dimensional time-fractional diffusion equation. The proposed scheme approximates …

A numerical scheme based on polynomials and finite difference method is developed for
numerical solutions of two-dimensional linear and nonlinear Sobolev equations. In this …

In this article, a numerical technique based on polynomials is proposed for the solution of
one and two-dimensional time-fractional Burgers equation. First, the given problem is …

In this article, we study the numerical technique for variable‐order fractional reaction‐
diffusion and subdiffusion equations that the fractional derivative is described in Caputo's …

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 …

This paper provides a fruitful and effective spectral scheme based on the two-dimensional
Pell collocation method for treating of nonlinear time-fractional Burgers equations with …

A new fractional-order Dickson functions are introduced for solving numerically fractional
optimal control and variational problems involving Mittag–Leffler nonsingular kernel. The …

The diffusion equation with variable coefficients is widely applied in heat transfer to model
the distribution of temperature in materials with spatially varying thermal properties, allowing …

In this study, we apply the pseudospectral method based on Müntz–Legendre wavelets to
solve the multiorder fractional differential equations with Caputo fractional derivative. Using …

Nonorthogonal polynomials have many useful properties like being used as a basis for
spectral methods, being generated in an easy way, having exponential rates of …