Applying cubic B-spline quasi-interpolation to solve 1D wave equations in polar coordinates

DOI10.1155/2013/710529zbMath1306.65300OpenAlexW2030142412WikidataQ58999052 ScholiaQ58999052MaRDI QIDQ2256894

Hossein Aminikhah, Javad Alavi

Publication date: 23 February 2015

Published in: ISRN Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/710529

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Applications to the sciences (65Z05)

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Cites Work

• Unnamed Item
• Cubic spline method for 1D wave equation in polar coordinates
• Numerical solutions of nonlinear Burgers equation with modified cubic B-splines collocation method
• A spline collocation approach for a generalized parabolic problem subject to non-classical conditions
• Quasi-interpolation operators based on a cubic spline and applications in SAMR simulations
• Cubic spline iterative method for Poisson's equation in cylindrical polar coordinates
• Hyperbolic partial differential-difference equation in the mathematical modeling of neuronal firing and its numerical solution
• Numerical solution of Burgers' equation by cubic B-spline quasi-interpolation
• Cubic spline solution of two-point boundary value problems with significant first derivatives
• A practical guide to splines
• Spline collocation methods for solving delay-differential equations.
• An unconditionally stable difference scheme for the one-space-dimensional linear hyperbolic equation
• A cubic B-spline collocation method for a numerical solution of the generalized Black-Scholes equation
• High order compact solution of the one-space-dimensional linear hyperbolic equation
• Higher-Order Numerical Solutions Using Cubic Splines
• A Fully Implicit Finite Difference Approximation to the One-dimensional Wave Equation using a Cubic Spline Technique
• Piecewise Cubic Interpolation and Two-Point Boundary Problems

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