FAST INTEGRATION OF ONE-DIMENSIONAL BOUNDARY VALUE PROBLEMS-Reference-Cited by-同舟云学术

FAST INTEGRATION OF ONE-DIMENSIONAL BOUNDARY VALUE PROBLEMS

Published:2013-10-14 Issue:11 Volume:24 Page:1350082
ISSN:0129-1831
Container-title:International Journal of Modern Physics C
language:en
Short-container-title:Int. J. Mod. Phys. C

Author:

CAMPOS RAFAEL G.¹,RUIZ RAFAEL GARCÍA¹

Affiliation:

1. Facultad de Ciencias Físico-Matemáticas, Edificio Alfa, Universidad Michoacana, 58060, Morelia, Michoacán, México

Abstract

Two-point nonlinear boundary value problems (BVPs) in both unbounded and bounded domains are solved in this paper using fast numerical antiderivatives and derivatives of functions of L2(-∞, ∞). This differintegral scheme uses a new algorithm to compute the Fourier transform. As examples we solve a fourth-order two-point boundary value problem (BVP) and compute the shape of the soliton solutions of a one-dimensional generalized Korteweg–de Vries (KdV) equation.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129183113500824

Reference12 articles.

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3. Lagrangian interpolation and differentiation

4. On a method for computing eigenvalues and eigenfunctions of linear differential operators

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