Numerical solution for singular differential equations using Haar wavelet

被引：1

作者：

Shukla, Shitesh ^{[1
]}

Kumar, Manoj ^{[1
]}

机构：

[1] Motilal Nehru Natl Inst Technol Allahabad, Dept Math, Prayagraj 211004, UP, India

来源：

INTERNATIONAL JOURNAL OF MODELING SIMULATION AND SCIENTIFIC COMPUTING | 2020年 / 11卷 / 05期

关键词：

Haar operational matrix; singularity; quasilinearization technique; piecewise continuous function; BOUNDARY-VALUE-PROBLEMS; LANE-EMDEN TYPE; OXYGEN DIFFUSION; SPHERICAL CELL; APPROXIMATION; ALGORITHM; SYSTEMS;

D O I：

10.1142/S1793962320500385

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The aim of this paper is to obtain the numerical solution of singular ordinary differential equations using the Haar-wavelet approach. The proposed method is mathematically simple and provides highly accurate solutions. In this method, we derive the Haar operational matrix using Haar function. Haar operational matrix is a basic tool and applied in system analysis to evaluate the numerical solution of differential equations. The convergence of the proposed method is discussed through its error analysis. To illustrate the efficiency of this method, solutions of four singular differential equations are obtained.

引用

页数：15

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