A three-step wavelet Galerkin method for parabolic and hyperbolic partial differential equations

DOI10.1080/00207160500112985zbMath1087.65096OpenAlexW2114734690MaRDI QIDQ3375534

Rathish B. V. Kumar, Mani Mehra

Publication date: 14 March 2006

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160500112985

zbMATH Keywords

stabilitynumerical resultsheat equationBurgers equationerror boundsparabolic equationhyperbolic equationwavelet Galerkin methodconvection equationthree-step method

Mathematics Subject Classification ID

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 first-order hyperbolic systems (35L45)

Related Items (12)

Mixed discontinuous Legendre wavelet Galerkin method for solving elliptic partial differential equations ⋮ Convergence and stability of meshfree method based on radial basis function for a hyperbolic partial differential equation with piecewise constant arguments ⋮ A new descent algorithm using the three-step discretization method for solving unconstrained optimization problems ⋮ Discontinuous Legendre wavelet element method for elliptic partial differential equations ⋮ Solving Volterra integral equations of the second kind by wavelet-Galerkin scheme ⋮ Two dimensional wavelets collocation scheme for linear and nonlinear Volterra weakly singular partial integro-differential equations ⋮ Explicit finite difference schemes adapted to advection–reaction equations ⋮ Chebyshev polynomial approximation for high‐order partial differential equations with complicated conditions ⋮ A new efficient method for the numerical solution of linear time-dependent partial differential equations ⋮ Solving the 2-D heat equations using wavelet-Galerkin method with variable time step ⋮ Wavelet Galerkin Methods for Higher Order Partial Differential Equations ⋮ A compression technique for the boundary integral equation reduced from Helmholtz equation

Cites Work

• Unnamed Item
• Adaptive wavelet methods for hyperbolic PDEs
• Time-accurate solutions of Korteweg--de Vries equation using wavelet Galerkin method
• Wavelets and the numerical solution of partial differential equations
• A Taylor-Galerkin method for convective transport problems
• Fast wavelet transforms and numerical algorithms I
• A Wavelet-Optimized, Very High Order Adaptive Grid and Order Numerical Method
• Solving Hyperbolic PDEs Using Interpolating Wavelets
• The analysis of unsteady incompressible flows by a three‐step finite element method
• Systems of conservation laws
• Adaptive high-order finite-difference method for nonlinear wave problems

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