This research apparatuses an approximate spectral method for the nonlinear time-fractional
partial integro-differential equation with a weakly singular kernel (TFPIDE). The main idea of …

In this study, we present an innovative approach involving a spectral collocation algorithm to
effectively obtain numerical solutions of the nonlinear time-fractional generalized Kawahara …

The time-fractional heat equation governed by nonlocal conditions is solved using a novel
method developed in this study, which is based on the spectral tau method. There are two …

Herein, a spectral Galerkin method for solving the fractional Rayleigh–Stokes problem
involving a nonlinear source term is analyzed. Two kinds of basis functions that are related …

In this study, a spectral tau solution to the heat conduction equation is introduced. As basis
functions, the orthogonal polynomials, namely, the shifted fifth-kind Chebyshev polynomials …

Herein, we construct an explicit modal numerical solver based on the spec-tral Petrov–
Galerkin method via a specific combination of shifted Cheby-shev polynomial basis for …

In the present paper, a new efficient technique is described for solving nonlinear mixed
partial integrodifferential equations with continuous kernels. Using the separation of …

The goal of this study is to suggest a new general triple integral transform known as Gamar
transform. Next, we compare the current transform to a number of existing triple integral …

As one of the important artificial intelligence fields, brain-like computing attempts to give
machines a higher intelligence level by studying and simulating the cognitive principles of …

In this research work, we proposed a Haar wavelet collocation method (HWCM) for the
numerical solution of first-and second-order nonlinear hyperbolic equations. The time …