Numerical Solution by Haar Wavelet Collocation Method for a Class of Higher Order Linear and Nonlinear Boundary Value Problems

被引：1
|
作者：
Kumar, Ratesh [1 ]
Kaur, Harpreet [2 ]
Arora, Geeta [1 ]
机构：
[1] Lovely Profess Univ, Sch Phys Sci, Dept Math, Phagwara 144411, Punjab, India
[2] IK Gujral Punjab Tech Univ Punjab, Punjab Inst Technol, Dept Math, Kapurthala, India
来源：
RECENT ADVANCES IN FUNDAMENTAL AND APPLIED SCIENCES (RAFAS 2016) | 2017年 / 1860卷
关键词：
Haar Wavelet; Quasilinearization; Collocation method and Boundary value problems (65L10);
D O I：
10.1063/1.4990337
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, Haar wavelet collocation mechanism (HWCM) is developed for obtaining the solution of higher order linear and nonlinear boundary value problems. Mechanism is based on approximation of solution by Haar wavelet family. To tackle the nonlinearity in the problems, Quasilinearization technique is applied. Many examples are considered to prove the successful application of the mechanism developed for getting the highly accurate result. By using the HWCM, an approximate solution for higher order boundary value problems (HOBVPs) are obtained and compared with exact and numerical solutions available in the literature.
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页数：12
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