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- Title
Higher-Order Finite-Difference Schemes for Nonlinear Two-Point Boundary Value Problems.
- Authors
Zhanlav, Tugal; Batgerel, Balt; Otgondorj, Khuder; Buyantogtokh, Dashnamjil; Ulziibayar, Vandandoo; Mijiddorj, Renchin-Ochir
- Abstract
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.
- Subjects
NONLINEAR boundary value problems; QUINTIC equations; FINITE difference method
- Publication
Journal of Mathematical Sciences, 2024, Vol 279, Issue 6, p850
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-024-07065-5