A COMPARATIVE STUDY OF NUMERICAL SOLUTION OF PANTOGRAPH EQUATIONS USING VARIOUS WAVELETS TECHNIQUES

被引：0
|
作者：
Jaiswal, J. P. [1 ]
Yadav, Kailash [1 ]
机构：
[1] Maulana Azad Natl Inst Technol, Dept Math, Bhopal 462003, MP, India
来源：
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2021年 / 11卷 / 03期
关键词：
Pantograph equation; delay differential equation; Bernoulli wavelet; collocation point; DELAY-DIFFERENTIAL-EQUATIONS; VARIATIONAL ITERATION METHOD; APPROXIMATE SOLUTION; COLLOCATION METHOD; ORDER; MATRICES;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The objective of the present article is to discuss a numerical method based on wavelets for finding the solution of pantograph differential equations with proportional delays. First, the pantograph differential equation is converted into system of linear algebraic equations and then unknown coefficients are induced by solving the linear system. The convergence of the approximate solution is also derived along with its error estimate. Some numerical examples are considered to demonstrate the superiority of Bernoulli wavelet over Haar, Chebyshev and Legendre wavelets etc.
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页码：772 / 788
页数：17
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