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01-Applied Mathematics & Information Sciences
An International Journal


Volumes > Volume 4 > No. 1


A New Algorithm for Solving Nonlinear Stationary Shock Problems with Mechanization

PP: 31-45
H. M. Habib, E. R. El-Zahar,
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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