Fast wavelet-Taylor Galerkin method for linear and non-linear wave problems

DOI10.1016/j.amc.2006.12.013zbMath1243.65124OpenAlexW2031406913MaRDI QIDQ2383641

Mani Mehra, Vivek Kumar

Publication date: 19 September 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.12.013

zbMATH Keywords

waveletsnonlinear opticsKorteweg-de Vries equationTaylor-Galerkin method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Numerical methods for wavelets (65T60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (4)

Convergence and stability of meshfree method based on radial basis function for a hyperbolic partial differential equation with piecewise constant arguments ⋮ Wavelet-optimized compact finite difference method for convection-diffusion equations ⋮ Solving the 2-D heat equations using wavelet-Galerkin method with variable time step ⋮ Comparing Shannon to autocorrelation-based wavelets for solving singularly perturbed elliptic BV problems

Cites Work

• Time-accurate solutions of Korteweg--de Vries equation using wavelet Galerkin method
• Wavelets and the numerical solution of partial differential equations
• Wavelet-Taylor Galerkin method for the Burgers equation
• Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
• Fast Wavelet Based Algorithms for Linear Evolution Equations
• Wavelet–Galerkin solutions for one‐dimensional partial differential equations
• Adaptive wavelet methods for elliptic operator equations: Convergence rates
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