High accuracy A. D. I. methods for fourth order parabolic equations with variable coefficients

DOI10.1016/0771-050X(77)90019-5zbMath0348.65082MaRDI QIDQ1234570

Publication date: 1977

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

Initial-boundary value problems for higher-order parabolic equations (35K35) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for higher-order parabolic equations (35K30)

Related Items (20)

Numerical analysis of fractional-order parabolic equations via Elzaki transform ⋮ Sextic B-spline collocation method for solving Euler-Bernoulli beam models ⋮ A class of quasi-variable mesh methods based on off-step discretization for the numerical solution of fourth-order quasi-linear parabolic partial differential equations ⋮ Modified variational iteration technique for solving singular fourth-order parabolic partial differential equations. ⋮ Approximate analytical solution of one-dimensional beam equations by using time-fractional reduced differential transform method ⋮ A family of second order methods for variable coefficient fourth order parabolic partial differential equations ⋮ High accuracy implicit variable mesh methods for numerical study of special types of fourth order non-linear parabolic equations ⋮ A class of two-level implicit unconditionally stable methods for a fourth order parabolic equation ⋮ A note on solving the fourth-order parabolic equation by the sinc-Galerkin method ⋮ Numerical investigation of dynamic Euler-Bernoulli equation via 3-Scale Haar wavelet collocation method ⋮ A class of two- and three-level implicit methods of order two in time and four in space based on half-step discretization for two-dimensional fourth order quasi-linear parabolic equations ⋮ He's homotopy perturbation method for fourth-order parabolic equations ⋮ Sextic spline solution of variable coefficient fourth-order parabolic equations ⋮ Unconditionally stable high accuracy compact difference schemes for multi-space dimensional vibration problems with simply supported boundary conditions ⋮ High accuracy compact operator methods for two-dimensional fourth order nonlinear parabolic partial differential equations ⋮ A Legendre-Laguerre-Galerkin Method for Uniform Euler-Bernoulli Beam Equation ⋮ Numerical Methods Based on Non-Polynomial Sextic Spline for Solution of Variable Coefficient Fourth-Order Wave Equations ⋮ A difference scheme with high accuracy in time for fourth-order parabolic equations ⋮ Analytic treatment for variable coefficient fourth-order parabolic partial differential equations ⋮ Exact solutions for variable coefficients fourth-order parabolic partial differential equations in higher-dimensional spaces

Cites Work

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