Higher-Order Finite-Difference Schemes for Nonlinear Two-Point Boundary Value Problems

被引：0
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作者：
Zhanlav T. [1 ,2 ]
Batgerel B. [1 ]
Otgondorj K. [2 ]
Buyantogtokh D. [3 ]
Ulziibayar V. [2 ]
Mijiddorj R.-O. [3 ]
机构：
[1] Mongolian Academy of Sciences, 54 B Peace Av., Ulaanbaatar, Bayanzurkh District
[2] Mongolian University of Science and Technology, 34 Baga toiruu, Ulaanbaatar, Sukhbaatar District
[3] Mongolian National University of Education, 54 Baga toiruu, Ulaanbaatar, Sukhbaatar District
来源：
Journal of Mathematical Sciences | 2024年 / 279卷 / 6期
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D O I：
10.1007/s10958-024-07065-5
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摘要：
We present a family of high-order multi-point finite difference methods for solving nonlinear two-point boundary value problems. The family involves some known methods as specific instances. We also introduce a highly efficient quintic B-spline method for solving nonlinear two-point boundary value problems, which yields an approximate solution in the form of a B-spline representation. This method successfully approximates the solutions to the one-dimensional Bratu, Troesch, and Lane–Emden problems without requirements of any information about the exact solutions. © Springer Nature Switzerland AG 2024.
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页码：850 / 865
页数：15
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