A new numerical algorithm for two-point boundary value problems

Lihua Guo; Boying Wu; Dazhi Zhang

doi:10.1155/2014/302936

A new numerical algorithm for two-point boundary value problems

Lihua Guo
, Boying Wu
, Dazhi Zhang^*

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

We present a new numerical algorithm for two-point boundary value problems. We first present the exact solution in the form of series and then prove that the n-term numerical solution converges uniformly to the exact solution. Furthermore, we establish the numerical stability and error analysis. The numerical results show the effectiveness of the proposed algorithm.

Original language	English
Article number	302936
Journal	Abstract and Applied Analysis
Volume	2014
DOIs	https://doi.org/10.1155/2014/302936
State	Published - 2014

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title = "A new numerical algorithm for two-point boundary value problems",

abstract = "We present a new numerical algorithm for two-point boundary value problems. We first present the exact solution in the form of series and then prove that the n-term numerical solution converges uniformly to the exact solution. Furthermore, we establish the numerical stability and error analysis. The numerical results show the effectiveness of the proposed algorithm.",

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AB - We present a new numerical algorithm for two-point boundary value problems. We first present the exact solution in the form of series and then prove that the n-term numerical solution converges uniformly to the exact solution. Furthermore, we establish the numerical stability and error analysis. The numerical results show the effectiveness of the proposed algorithm.

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U2 - 10.1155/2014/302936

DO - 10.1155/2014/302936

M3 - 文章

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SN - 1085-3375

VL - 2014

JO - Abstract and Applied Analysis

JF - Abstract and Applied Analysis

M1 - 302936

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A new numerical algorithm for two-point boundary value problems

Abstract

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