Numerical method using cubic B-spline for the heat and wave equation

DOI10.1016/j.camwa.2011.10.028zbMath1236.65111OpenAlexW2037915328MaRDI QIDQ2429097

Yanyan Li

Publication date: 22 April 2012

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.10.028

zbMATH Keywords

heat equationwave equationinterpolation functiontruncation errorcubic B-spline

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (15)

The application of cubic trigonometric B-spline to the numerical solution of the hyperbolic problems ⋮ A uniformly convergent scheme for two-parameter problems having layer behaviour ⋮ Quintic B-spline method for integro interpolation ⋮ The solution of a time-dependent problem by the \(B\)-spline method ⋮ Highly accurate method for solving singular boundary-value problems via Padé approximation and two-step quartic B-spline collocation ⋮ Numerical solution of advection-diffusion equation using meshless method of lines ⋮ Numerical method using cubic trigonometric B-spline technique for nonclassical diffusion problems ⋮ A numerical solution of Blasius equation on a semi-infinity flat plate ⋮ Two cubic spline methods for solving Fredholm integral equations ⋮ A quartic \(B\)-spline for second-order singular boundary value problems ⋮ B-spline collocation methods and their convergence for a class of nonlinear derivative dependent singular boundary value problems ⋮ A robust numerical algorithm for solving singular boundary value problems in one space dimension by B-spline method ⋮ Numerical solution of singular boundary value problems with logarithmic singularities by Padé approximation and collocation methods ⋮ Unnamed Item ⋮ Cubic B-spline method for the solution of an inverse parabolic system

Cites Work

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• The method of lines for solution of the one-dimensional wave equation subject to an integral conservation condition
• A high-order compact boundary value method for solving one-dimensional heat equations
• Piecewise Cubic Interpolation and Two-Point Boundary Problems
• Cubic spline solutions to two-point boundary value problems
• The use of cubic splines in the solution of two-point boundary value problems
• The use of cubic splines in the numerical solution of a system of second-order boundary value problems

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