Numerical solutions of integrodifferential systems by hybrid of general block-pulse functions and the second Chebyshev polynomials

TL;DR

This paper introduces a hybrid numerical method combining block-pulse functions and Chebyshev polynomials to efficiently solve integrodifferential systems, converting them into algebraic equations for approximate solutions.

Contribution

The paper presents a novel hybrid approach that improves the numerical solution process for integrodifferential systems using combined basis functions.

Findings

Algorithms are validated through numerical examples.

The method effectively converts integrodifferential systems into algebraic equations.

Approximate solutions demonstrate high accuracy.

Abstract

By applying hybrid functions of general block-pulse functions and the second Chebyshev polynomials,integrodifferential systems are converted into a system of algebraic equations. The approximate solutions of integrodifferential systems are derived. The numerical examples illustrate that the algorithms are valid.