TIME ACCURATE FAST THREE-STEP WAVELET-GALERKIN METHOD FOR PARTIAL DIFFERENTIAL EQUATIONS

DOI10.1142/S0219691306001099zbMath1089.65099WikidataQ57652892 ScholiaQ57652892MaRDI QIDQ5291377

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Publication date: 10 May 2006

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

zbMATH Keywords

shocknumerical examplesnumerical experimentsBurgers equationparabolic equationhyperbolic equationlinear advection equationlinear advection-diffusion equationNumerical resultsthree-step wavelet-Galerkin method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Numerical methods for wavelets (65T60) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial value problems for second-order parabolic equations (35K15) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (8)

Finite element analysis of the singularly perturbed parabolic <scp>reaction‐diffusion</scp> problems with retarded argument ⋮ Wavelet Galerkin method for fourth order linear and nonlinear differential equations ⋮ An improved flux limiter using fuzzy modifiers for hyperbolic conservation laws ⋮ Taylor-Galerkin and Taylor-collocation methods for the numerical solutions of Burgers equation using B-splines ⋮ Wavelet Galerkin method for fourth-order multi-dimensional elliptic partial differential equations ⋮ FAST CLUSTERING-BASED KERNEL FOLEY–SAMMON TRANSFORM ⋮ Solving the 2-D heat equations using wavelet-Galerkin method with variable time step ⋮ Wavelet Galerkin Methods for Higher Order Partial Differential Equations

Cites Work

• Unnamed Item
• An adaptive wavelet-vaguelette algorithm for the solution of PDEs
• An analysis of time discretization in the finite element solution of hyperbolic problems
• Adaptive wavelet methods for hyperbolic PDEs
• A Taylor-Galerkin method for convective transport problems
• Fast Wavelet Based Algorithms for Linear Evolution Equations
• Solving Hyperbolic PDEs Using Interpolating Wavelets
• The analysis of unsteady incompressible flows by a three‐step finite element method
• Systems of conservation laws

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