A new variable mesh method based on non-polynomial spline in compression approximations for 1D quasilinear hyperbolic equations
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Link
http://link.springer.com/content/pdf/10.1186/s13662-015-0672-7.pdf
Reference39 articles.
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2. Fyfe, DJ: The use of cubic splines in the solution of two point boundary value problems. Comput. J. 12, 188-192 (1969)
3. Fleck, JA Jr.: A cubic spline method for solving the wave equation of nonlinear optics. J. Comput. Phys. 16, 324-341 (1974)
4. Raggett, GF, Wilson, PD: A fully implicit finite difference approximation to the one-dimensional wave equation using a cubic spline technique. J. Inst. Math. Appl. 14, 75-77 (1974)
5. Jain, MK, Aziz, T: Spline function approximation for differential equations. Comput. Methods Appl. Mech. Eng. 26, 129-143 (1981)
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