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A New Algorithm for Solving Nonlinear Stationary Shock Problems with Mechanization |
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PP: 31-45 |
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Author(s) |
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H. M. Habib,
E. R. El-Zahar,
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Abstract |
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| Using the methods of mathematical analysis and computer algebra, we developed a
new reliable algorithm of initial-value method for solving nonlinear singular perturbation
problems. To mechanize the algorithm a MatLab procedure called IVPHZ was
established. The IVPHZ can handle problems with one or two boundary layers as well
as problems with an internal shock layer. Testing of the IVPHZ was made by solving
numerous linear and nonlinear problems to demonstrate the implementation and
efficiency of the procedure. |
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