Application of Lie-Group Theory for solving CalogeroBogoyavlenskii- Schiff Equation

Application of He's homotopy perturbation method for solving Sivashinsky equation

In this paper, the solution of the evolutionaryfourth-order in space, Sivashinsky equation is obtained by meansof homotopy perturbation method (textbf{HPM}). The results revealthat the method is very effective, convenient  and quite accurateto systems of nonlinear partial differential equations.

Application of Iterative Methods for Solving General Riccati Equation

Complexity Theory for Lie-Group Solvers

Commencing with a brief survey of Lie-group theory and diierential equations evolving on Lie groups, we describe a number of numerical algorithms designed to respect Lie-group structure: Runge{Kutta{Munthe-Kaas schemes, Fer and Magnus expansions. This is followed by complexity analysis of Fer and Magnus expansions, whose conclusion is that for order four, six and eight an appropriately discreti...

application of he's homotopy perturbation method for solving sivashinsky equation

in this paper, the solution of the evolutionaryfourth-order in space, sivashinsky equation is obtained by meansof homotopy perturbation method (textbf{hpm}). the results revealthat the method is very effective, convenient  and quite accurateto systems of nonlinear partial differential equations.

Simulation and Derivation of Deflection Equation for Suspended Diaphragm for MEMS Application Using Kirchhoff-Love Theory

In this paper, using theory of sheets, the deflection of suspended diaphragm has been obtained under uniform and circular loading. This type of diaphragm, unlike other diaphragms, has a central support which is recommended to be used in MEMS applications. The relationship between diaphragm deflection and static analysis of this diaphragm enjoys a great significance in investigating and understa...