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Finite Difference Schemes and Partial Differential Equations John Strikwerda
Publisher: SIAM: Society for Industrial and Applied Mathematics

We use an algorithm based on spectral methods to solve the equation in space and a second-order central finite difference method to solve the equation in time. The Theory of Difference Schemes book download. Spectral methods are commonly used to solve partial differential equations. [FSO] Finite Element Method (FEM) Collection - Jiwang WareZ . Explicit finite difference method is employed to solve the equations. The governing partial differential equations are non-dimensionalised and solved by finite element method. Using finite differences and the Crank-Nicholson implicit scheme for solving parabolic type partial differential equations, a computer program has been developed for solving the one-dimensional, vertical movement of water in soils. Finite Difference Schemes And Partial Differential Equations. The porous medium is discretised with unstructured . The numerical results thus obtained are of partial differential equations. Numerical solutions for the governing equations subject to the appropriate boundary conditions are obtained by a finite difference scheme known as Keller-Box method.