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- W2116560371 abstract "Using classical finite difference techniques, a stable algorithm for the numerical solution of the quasilinear diffusion equation is developed using heuristic extensions of principles that apply regorously to the linear case. the technique is proved to be suitable for the linear problem and is demonstrated to be viable for the quasilinear form of the equation. A stability criterion and accuracy assessment are made for the linear case. A quasilinear problem is solved using the method and its solution is compared with both the known analytical solution and a solution obtained by the classical Crank-Nicholson method. The results obtained by the improved algorithm are shown to correspond excellently with the exact solution, while the Crank-Nicholson approach becomes unstable. The possibility of a hybrid approach combining classical Crank-Nicholson and the improved algorithm is also discussed." @default.
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- W2116560371 date "1987-01-01" @default.
- W2116560371 modified "2023-09-27" @default.
- W2116560371 title "An effective difference scheme for quasilinear diffuion" @default.
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- W2116560371 doi "https://doi.org/10.1016/0898-1221(87)90126-x" @default.
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