A minimal search method for solving fractional integro-differential equations based on modified Legendre multiwavelets

Wu, Longbin; Chen, Zhong; Ding, Xiaohua

doi:10.1007/s12190-021-01573-2

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Cited by 4 publications

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“…The main feature of using orthogonal functions is that they reduce dynamical system problems to those of solving a system of algebraic equations using differentiation or integration operational matrices. Special attention has been given to applications of the block pulse functions [38,39], spline wavelets [40], Legendre wavelets [41,42], Chebyshev polynomials [43,44], Walsh functions [45], and wavelet collocation method [46].…”

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confidence: 99%

Numerical Solution of Fractional Integro-Differential Equations Via Fourth-Degree Hat Functions

Mohammed

Khudair

2023

ijcsm

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The goal of this paper is to construct new fourth-degree hat functions (FDHFs) and study their properties in order to develop a new numerical method for solving fractional integro-differential equations. The equation under consideration is transformed into a set of algebraic equations by using FDHFs, which makes it simple to solve the system using one of the iterative methods. In fact, this method’s advantage was that it was easy to use and had fifth-order convergence, as we showed in the section on error analysis. The numerical results demonstrate that the new technique works well through the presented examples.

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