Numerical Solutions of Partial Differential Equations: Proceedings of the 1981 Conference on the Numerical Solutions of Differential Equations Held at Queen's College, Melbourne University, Australia
North-Holland Publishing Company, 1982 - Differential equations, Partial - 647 pages
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CONVERGENCE CONSISTENCY AND STABILITY
SOLVING THE ONEDIMENSIONAL DIFFUSION EQUATION
28 other sections not shown
accuracy accurate algorithm analysis applied assumed becomes boundary conditions Burgers calculated coefficients column compared component considered consistency constant continuity convection convergence coordinate corresponding defined dependent derivative described determined developed diagonal difference method diffusion direction displacements distribution domain effect elimination entries estimate evaluated exact solution example expressed Figure finite difference equation finite element method flow fluid formulation FTCS function Galerkin given gives grid grid-point implicit increasing indicate initial integral introduced involving iteration known less linear mathematical matrix nodes numerical obtained partial differential equation particular physical positive possible presented problem procedure produces reduced region relation replaced satisfied scheme shock shown shows side solved space spectral stability step Substitution surface symmetric Table techniques transformation truncation error unknown values variable wave written zero