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A numerical shock profile in a slowly relaxing medium |
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| Institution: | 1. Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt;2. Department of Basic Sciences, Faculty of Engineering at October 6 University, Giza, Egypt;3. Institute of Basic and Applied Science – Collage of Engineering and Technology, Arab academy for science, technology and Maritime Transport, Alexandria, Egypt |
| Abstract: | A numerical solution of the equation which governs the shock solution in a viscoelastic medium displaying stress relaxation is obtained. This equation has been found to be the one which defines the lowest-order approximation to the inner solution of a “generalized Burgers' equation”. The case when the stress relaxation function is algebraically decaying is considered and the results are shown to be consistent with the expected behaviour of the solution. |
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