A NEW APPROACH FOR SOLVING PARTIAL DIFFERENTIAL EQUATIONS BASED ON FINITE-DIFFERENCE AND HAAR WAVELET METHODS

被引：0

作者：

Raza, Akmal ^{[1
]}

Khan, Arshad ^{[1
]}

Ahmad, Khalil ^{[2
]}

机构：

[1] Jamia Millia Islamia, Dept Math, New Delhi 110025, India

[2] Al Falah Univ, Dept Math, Faridabad, Haryana, India

来源：

JORDAN JOURNAL OF MATHEMATICS AND STATISTICS | 2021年 / 14卷 / 02期

关键词：

Haar wavelet; Finite-difference; Dispersive equation; Diffusion equation; NUMERICAL-SOLUTION;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main objective of this paper is to develop a new scheme based on finite-difference and Haar wavelet for second order diffusion equation and third order dispersive equation. Further, we have carried out the stability of the Haar wavelet. We solved four problems consisting linear diffusion equation and dispersive homogeneous and non homogeneous equation to validate the developed scheme. We have also compared our results with existing methods such as finite difference method, global extrapolation method and non polynomial spline method.

引用

页码：307 / 334

页数：28

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