Title :
A Numerical Method for Solving Linear Two-Point Boundary Value Problems
Author :
Zhou, Yongxiong ; Xiang, Shuhuang
Author_Institution :
Dept. of Appl. Math., Central South Univ., Changsha, China
Abstract :
We present a new discrete scheme for solving boundary value problems for linear ordinary differential equations with constant coefficients or variable coefficients. Our approach works directly on the approximation of polynomials which coefficients related to higher derivatives. In particular, we can transform a general system to essentially diagonally dominant form according to this discrete schemes. Preliminary numerical results show the effectiveness of this method.
Keywords :
boundary-value problems; linear differential equations; polynomial approximation; constant coefficients; diagonally dominant form; discrete scheme; linear ordinary differential equations; linear two-point boundary value problems; numerical method; polynomial approximation; variable coefficients; Automation; Bismuth; Boundary conditions; Boundary value problems; Differential equations; Discrete transforms; Finite difference methods; Integral equations; Mathematics; Polynomials; boundary value problems; higher derivatives; ordinary differential equations;
Conference_Titel :
Intelligent Computation Technology and Automation, 2009. ICICTA '09. Second International Conference on
Conference_Location :
Changsha, Hunan
Print_ISBN :
978-0-7695-3804-4
DOI :
10.1109/ICICTA.2009.835
