Numerical Solution of Nonlocal Parabolic Partial Differential Equation via Bernstein Polynomial Method

被引：0

作者：

Karimi, Kobra ^{[1
]}

Alipour, Mohsen ^{[2
]}

Khaksarfard, Marzieh ^{[3
]}

机构：

[1] Buin Zahra Tech Univ, Dept Math, POB 34517-45346, Buin Zahra, Qazvin, Iran

[2] Babol Univ Technol, Dept Math, Fac Basic Sci, POB 47148-71167, Babol Sar, Iran

[3] Alzahra Univ, Dept Math, Tehran, Iran

来源：

PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS | 2016年 / 48卷 / 01期

关键词：

Parabolic partial differential equations; Non-local boundary conditions; Bernstein basis; Operational matrices;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we apply an efficient approaches based on Bern-stein polynomials to solve one-dimensional partial differential equations (PDEs) subject to the given nonlocal conditions. The main idea is based on collocation and transforming the considered PDEs into their associated algebraic equations. Numerical results are presented through the illustrative graphs which demonstrate good accuracy.

引用

页码：47 / 53

页数：7

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