Project Details
Abstract Arabic
یھدف ھذا المشروع الى بناء بنیة جدیدة تربط جبر لي مع قانون حفظ الثقل للحالات الثلاث للمادة.
Abstract English
"The general hyperbolic conservation laws of a flux function are developed in a manifold based on Lie algebras (the
Lie group theory). The basis is found to stably represent the solution for small viscosity. A special case (Burger's
equation) is taken to apply a Total Variation Diminishing method which is presented to reduce or at least to control the
oscillations at a shock associated with Gibbs phenomena. The Runge-Kutta scheme shows the order of the viscosity of
the solution. A general algorithm is proposed to increase the efficiency of the method and the structure of the solution."
Lie group theory). The basis is found to stably represent the solution for small viscosity. A special case (Burger's
equation) is taken to apply a Total Variation Diminishing method which is presented to reduce or at least to control the
oscillations at a shock associated with Gibbs phenomena. The Runge-Kutta scheme shows the order of the viscosity of
the solution. A general algorithm is proposed to increase the efficiency of the method and the structure of the solution."
| Status | Finished |
|---|---|
| Effective start/end date | 1/06/18 → 5/06/20 |
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