The cubic spline solution of practical problems modelled by hyperbolic equations

DOI10.1016/0045-7825(76)90041-4zbMath0328.65046OpenAlexW1973813068MaRDI QIDQ1226850

S. J. Wisher, G. F. Raggett, J. A. R. Stone

Publication date: 1976

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(76)90041-4

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items

Polynomial and nonpolynomial spline methods for fractional sub-diffusion equations, A fully discrete scheme based on cubic splines and its analysis for time-fractional reaction-diffusion equations exhibiting weak initial singularity, Spline function approximation for differential equations, Reduced spline method based on a proper orthogonal decomposition technique for fractional sub-diffusion equations, General finite difference approximation for the wave equation with variable coefficients using a cubic spline technique

Cites Work

• On the iterative solution of the limiting susceptible population in a model of epidemiology
• A Fully Implicit Finite Difference Approximation to the One-dimensional Wave Equation using a Cubic Spline Technique
• Experimental and theoretical study of the stability of plane shock waves reflected normally from perturbed flat walls
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