An accurate three spatial grid-point discretization of O(\(k^{2}+h^{4}\)) for the numerical solution of one-space dimensional unsteady quasi-linear biharmonic problem of second kind

DOI10.1016/S0096-3003(02)00175-3zbMath1026.65068MaRDI QIDQ1406212

Ranjan Kumar Mohanty

Publication date: 9 September 2003

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

zbMATH Keywords

convergencefinite differenceRMS errorssingular equationquasi-linear equationnonlinear KdV equationtwo-level implicit schemeunsteady biharmonic problem

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) KdV equations (Korteweg-de Vries equations) (35Q53) 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)

Related Items

A new two-level implicit scheme of order two in time and four in space based on half-step spline in compression approximations for unsteady 1D quasi-linear biharmonic 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, Numerov type variable mesh approximations for 1D unsteady quasi-linear biharmonic problem: application to Kuramoto-Sivashinsky equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Single cell discretizations of order two and four for biharmonic problems
• BLOCK ITERATIVE METHODS FOR ONE DIMENSIONAL NONLINEAR BIHARMONIC PROBLEMS ON A PARALLEL COMPUTER*
• High Accuracy Difference Formulae For A Fourth Order Quasi-Linear Parabolic Initial Boundary Value Problem Of First Kind