Numerical solution of nonlinear oscillatory differential equations using shifted second kind Chebyshev wavelet method

被引：0

作者：

Rani, Mamta ^{[1
]}

Manchanda, Pammy ^{[1
]}

机构：

[1] Guru Nanak Dev Univ, Dept Math, Amritsar 143005, Punjab, India

来源：

ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2020年 / 44期

关键词：

Chebyshev wavelets; operational matrix of derivative; oscillatory differential equations;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A numerical method for solving Oscillatory differential equations using shifted second kind Chebyshev wavelets is presented. An operational matrix of derivative is introduced and utilized to reduce the oscillatory differential equations and its initial conditions to a set of algebraic equations in the unknown expansion coefficients. Illustrative examples are included to demonstrate the validity and applicability of the method. Numerical solution of Van der Pol oscillator problem and Duffing Equations are obtained by using this method.

引用

页码：188 / 197

页数：10

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