Hybrid Functions of Lagrange Polynomials and Block-Pulse Functions for Solving Integro-partial Differential Equations

被引：0

作者：

Mollahasani, Nasibeh ^{[1
]}

Moghadam, Mahmoud Mohseni ^{[1
]}

Chuev, Gennady ^{[2
]}

机构：

[1] Shahid Bahonar Univ Kerman, Dept Appl Math, Fac Math & Comp, Pajuhesh Sq, Kerman, Iran

[2] Russian Acad Sci, Pushchino 142290, Moscow Region, Russia

来源：

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE | 2018年 / 42卷 / A4期

关键词：

Hybrid methods; Lagrange polynomials; Block-pulse-functions; Integro-partial differential equations; FREDHOLM;

D O I：

10.1007/s40995-018-0509-9

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We construct two-dimensional hybrid functions from Lagrange polynomials and block-pulse-functions. Using special properties of the functions for evaluating integral and derivatives, we develop an efficient algorithm for solving two-dimensional integro-differential equations. Some numerical examples are given to demonstrate the performance of the method.

引用

页码：2021 / 2028

页数：8

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