Exact and Numerical Solutions of Poisson Equation for Electrostatic Potential Problems

Exact and Numerical Solutions of Poisson Equation for Electrostatic Potential Problems

Homotopy perturbation method HPM and boundary element method BEM for calculating the exact and numerical solutions of Poisson equation with appropriate boundary and initial conditions are presented. Exact solutions of electrostatic potential problems defined by Poisson equation are found using HPM given boundary and initial conditions. The same problems are also solved using the BEM. The cell i...

Exact and numerical solutions for nonlinear differential equation of Jeffrey-Hamel flow

exact and numerical solutions for nonlinear differential equation of jeffrey-hamel flow

Numerical Quenching Solutions of a Parabolic Equation Modeling Electrostatic Mems

In this paper, we study the semidiscrete approximation for the following initial-boundary value problem  ut(x, t) = uxx(x, t) + λf(x)(1− u(x, t))−p, −l < x < l, t > 0, u(−l, t) = 0, u(l, t) = 0, t > 0, u(x, 0) = u0(x) ≥ 0, −l ≤ x ≤ l, where p > 1, λ > 0 and f(x) ∈ C([−l, l]), symmetric and nondecreasing on the interval (−l, 0), 0 < f(x) ≤ 1, f(−l) = 0, f(l) = 0 and l = 1 2 . We find some cond...

Exact solutions of distinct physical structures to the fractional potential Kadomtsev-Petviashvili equation

In this paper, Exp-function and (G′/G)expansion methods are presented to derive traveling wave solutions for a class of nonlinear space-time fractional differential equations. As a results, some new exact traveling wave solutions are obtained.