An accurate three spatial grid-point discretization of O( k2+ h4) for the numerical solution of one-space dimensional unsteady quasi-linear biharmonic problem of second kind - Mohanty, R.K. (Applied mathematics and computation, 2003)
Keywords: Exact sciences and technology; Mathematics; Non-linear [formula omitted] equation; Numerical analysis; Numerical analysis. Scientific computation; Partial differential equations, initial value problems and time-dependant initial-boundary value problems; Quasi-linear equation; RMS errors; Sciences and techniques of general use; Singular equation; Two level implicit scheme; Unsteady biharmonic problem; Two level implicit scheme; Quasi-linear equation; RMS errors; Non-linear K dV equation; Singular equation; Unsteady biharmonic problem; Convergence of numerical methods; Implicit method; Initial condition; Quasi linear equation; Unsteady state; Two level method; Boundary condition; Partial differential equation; Discretization method; Korteweg de Vries equation; Mean square error; Non linear equation; Numerical analysis; Biharmonic equation; Finite difference method