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Improved nearest-nodes finite element method with field-consistent shape functions
Nearest-nodes finite element method Euler-Lagrange equations
2010/11/25
In this paper, the recently developed nearest-nodes finite element method (NN-FEM) was improved by introducing field-consistent shape functions. Field-consistent shape functions are constructed in two...
Adomian decomposition method for dispersion phenomena arising in longitudinal dispersion of miscible fluid flow through porous media
Adomian Decomposition method Miscible fluid
2010/11/25
In this paper a theoretical model is developed for the dispersion problem in porous media in which the flow is one dimensional and the average flow is unsteady. The Numerical Solution and graphical il...
The homotopy analysis method for solving the Sawada朘otera and Lax's fifth-order KdV equations
Homotopy analysis method Generalized fifth-order KdV (gfKdV) equation
2010/9/27
In this Letter, we apply the homotopy analysis method (HAM) to obtain approximate analytical solutions of the Sawada–Kotera and Lax’s fifth-order KdV equations, without any linearization or weak nonli...
A decomposition method for volume flux and average velocity of thin film flow of a third grade fluid down an inclined plane
Decomposition Method Perturbation method Thin film flow
2010/9/27
Perturbation methods depend on a small parameter which is difficult to be found for real-life nonlinear problems. To overcome this shortcoming, a powerful analytical method is introduced to solve the ...