A boundary value technique for the solution of some diffusion equations with concentration-dependent diffusion coefficients |
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| Authors: | David H. Schultz |
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| Affiliation: | Department of Mathematics and Department of Electrical Engineering, University of Wisconsin-Milwaukee, Milwaukee, Wisconsin 53201 U.S.A. |
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| Abstract: | ![]()
A boundary value method is applied to the problem of diffusion equations with concentration-dependent diffusion coefficients. The resulting non-linear system of difference equations is solved with exceptional speed by using a form of the Gauss elimination method. This method of solving problems with a semi-infinite domain was found to be more accurate and up to ten times faster than initial value techniques. |
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