New nonpolynomial spline in compression method of \(O(k^2+k^4)\) for the solution of 1D wave equation in polar coordinates

DOI10.1155/2013/470480zbMath1292.65090OpenAlexW2065603758WikidataQ58919027 ScholiaQ58919027MaRDI QIDQ2248679

Navnit Jha, Venu Gopal, Ranjan Kumar Mohanty

Publication date: 27 June 2014

Published in: Advances in Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/470480

zbMATH Keywords

stabilitywave equationfinite differencenumerical resultnonpolynomial spline in compression

Mathematics Subject Classification ID

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)

Related Items (7)

High accuracy non-polynomial spline in compression method for one-space dimensional quasi-linear hyperbolic equations with significant first order space derivative term ⋮ A new fast algorithm based on half-step discretization for one space dimensional quasilinear hyperbolic equations ⋮ A new variable mesh method based on non-polynomial spline in compression approximations for 1D quasilinear hyperbolic equations ⋮ A new spline in compression method of order four in space and two in time based on half-step grid points for the solution of the system of 1D quasi-linear hyperbolic partial differential equations ⋮ A new spline in compression approximation for one space dimensional quasilinear parabolic equations on a variable mesh ⋮ A New Fast Numerical Method Based on Off-Step Discretization for Two-Dimensional Quasilinear Hyperbolic Partial Differential Equations ⋮ Hierarchical cascade model leading to 7-th order initial value problem

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