Solving a nonlinear fractional differential equation using Chebyshev wavelets - ScienceDirect
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A practical direct method to compute numerical solutions of the linear Volterra and Fredholm
integral equations system is proposed. This approach is based on vector forms of triangular …

A numerical method for solving linear Volterra and Fredholm integral equations of the
second kind is formulated. Based on a special representation of vector forms of triangular …

This article proposes a fast and accurate expansion-iterative method for solving second kind
linear Volterra integral equations. The method is based on a special representation of vector …

This article focuses on the calculation of electric charge density induced on a conducting
incomplete spherical surface. The analysis is based on an existing numerical method that …

Most integral equations of the first kind are ill posed, and obtaining their numerical solution
often requires solving a linear system of algebraic equations of large condition number …

This paper introduces an approach for obtaining the numerical solution of the nonlinear
Volterra–Fredholm integro-differential (NVFID) equations using hybrid Legendre …

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 …

The main purpose of this paper is to utilize the collocation method based on fractional
Genocchi functions to approximate the solution of variable-order fractional partial integro …

Physics-informed neural networks (PINNs) based machine learning is an emerging
framework for solving nonlinear differential equations. However, due to the implicit regularity …