A High-Order Numerical Method for a Nonlinear System of Second-Order Boundary Value Problems
Keyword(s):
This paper is concerned with a high-order numerical scheme for nonlinear systems of second-order boundary value problems (BVPs). First, by utilizing quasi-Newton’s method (QNM), the nonlinear system can be transformed into linear ones. Based on the standard Lobatto orthogonal polynomials, we introduce a high-order Lobatto reproducing kernel method (LRKM) to solve these linear equations. Numerical experiments are performed to investigate the reliability and efficiency of the presented method.
2011 ◽
Vol 235
(8)
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pp. 2405-2411
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2016 ◽
Vol 291
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pp. 137-148
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2010 ◽
Vol 217
(7)
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pp. 3425-3428
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2016 ◽
Vol 21
(4)
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pp. 466-477
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2011 ◽
Vol 24
(2)
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pp. 156-159
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