Similar Construction Method of the Boundary Value Problem of Composite Spherical Bessel Equations

Qiang Wang^1, , Shunchu Li¹, Ming Hu¹ and Dongdong Gui²

¹Institute of Applied Mathematics, Xihua University, Chengdu, China

²Beijing Dong run ke Petroleum Technology Co,Ltd, Beijing, China

Cite this paper:
Qiang Wang, Shunchu Li, Ming Hu and Dongdong Gui. Similar Construction Method of the Boundary Value Problem of Composite Spherical Bessel Equations. American Journal of Mathematical Analysis. 2015; 3(2):26-31. doi: 10.12691/ajma-3-2-1

Abstract

Aimed at the boundary value problem of composite spherical Bessel equations. Through introducing similar kernel function in the left (right) region, the similar structure of solution was obtained. By analyzing the structure of solution, the solution in the left region was assembled by coefficient of left boundary value condition and similar kernel function in the left region, the solution in the right region was assembled by similar kernel function in the left (right) region; coefficient of left boundary value condition; left guide functions and coefficient of joint conditions. Thus a simple method of solving the boundary value problem of composite spherical Bessel equations is put forward, namely similar construction method; This method provides a way for solving boundary value problem of composite differential equations.

Keywords:
boundary value problem composite spherical Bessel equations similar structure similar kernel function

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