Numerical solution of the heat equation by infinite-order ordinary differential equations |
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| Authors: | Norman L Hills John M Irwin Fuad Mulla |
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| Institution: | 1. Department of Mathematics, Michigan State University, East Lansing, Michigan 48824;2. Department of Mathematics, Wayne State University, Detroit, Michigan 48202;3. Department of Mathematics, Kuwait University, Kuwait |
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| Abstract: | A numerical algorithm is given for solving a class of infinite-order differential equations previously discussed by the authors. These equations yield solutions to certain time-dependent boundary-value problems for the heat equation. An extrapolation process is given for increasing the speed of convergence of the sequence generated by the method. © 1992 John Wiley & Sons, Inc. |
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