A new hybrid orthonormal Bernstein and improved block-pulse functions method for solving mathematical physics and engineering problems

Alexandria Engineering Journal

卷:59

Heba S. Osheba¹  Mohamed Ramadan² 

[1]Faculty of Science, Menoufia University, Shebin El-Kom, Egypt

[2]|Corresponding author.

关键词: Fredholm integral equation;    Bernstein polynomial;    Improved Block-Pulse function;    Absolute error;    Accuracy;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this paper, numerical solution of the linear second kind Fredholm integral equations is studied. These integral equations are widely used for solving many problems in mathematical physics and engineering. A new hybrid Bernstein and Improved Block-Pulse Functions (HBIBP) method is introduced and utilized to convert linear (nonlinear) second kind Fredholm integral equations into an algebraic equation. The new methodology is a combination of Bernstein polynomials (BPs) and improved block-pulse functions (IBPFs) on the interval [0, 1). Convergence analysis and numerical examples that illustrate the pertinent features of the method are presented.

【 授权许可】

Unknown