Fractional Subequation Method for Cahn-Hilliard and Klein-Gordon Equations

Fractional Subequation Method for Cahn-Hilliard and Klein-Gordon Equations

and Applied Analysis 3 of φj (j = 0, 1, . . . , 5) to zero, we finally end up with a system of algebraic equations, namely,

Analytical solutions for the fractional Klein-Gordon equation

In this paper, we solve a inhomogeneous fractional Klein-Gordon equation by the method of separating variables. We apply the method for three boundary conditions, contain Dirichlet, Neumann, and Robin boundary conditions, and solve some examples to illustrate the effectiveness of the method.

A New Method for Simulating Strongly Anisotropic Cahn-Hilliard Equations

We present a new approach for modeling strongly anisotropic crystal and epitaxial growth using regularized, anisotropic Cahn-Hilliard-type equations. Such problems arise during the growth and coarsening of thin films. When the surface anisotropy is sufficiently strong, sharp corners form and unregularized anisotropic Cahn-Hilliard equations become ill-posed. Our models contain a high order Will...

Approximate Series Solution of Nonlinear, Fractional Klein- Gordon Equations Using Fractional Reduced Differential Transform Method

Corresponding Author: Mohammed Al-Smadi Department of Applied Science, Ajloun College, AlBalqa Applied University, Ajloun 26816, Jordan Email: [email protected] Abstract: This analysis proposes an analytical-numerical approach for providing solutions of a class of nonlinear fractional Klein-Gordon equation subjected to appropriate initial conditions in Caputo sense by using the Fractional Red...

Preconditioning for Vector-Valued Cahn-Hilliard Equations