Legendre wavelet solution of neutral differential equations with proportional delays

被引:0
|
作者
Sevin Gümgüm
Demet Ersoy Özdek
Gökçe Özaltun
Necdet Bildik
机构
[1] Izmir University of Economics,Department of Mathematics
[2] Celal Bayar University,Department of Mathematics
关键词
Legendre wavelets; Neutral differential equations; Proportional delays; 34K40; 65L05; 40C05;
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学科分类号
摘要
The aim of this paper is to solve neutral differential equations with proportional delays by using Legendre wavelet method. Using orthonormal polynomials is the main advantage of this method since it enables a decrease in the computational cost and runtime. Some examples are displayed to illustrate the efficiency and accuracy of the proposed method. Numerical results are compared with various numerical methods in literature and show that the present method is very effectual in solving neutral differential equations with proportional delays.
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页码:389 / 404
页数:15
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