Travelling Waves for Fourth Order Parabolic Equations

Travelling Waves for Fourth Order Parabolic Equations

We study travelling wave solutions for a class of fourth order parabolic equations. Travelling wave fronts of the form u(x, t) = U(x + ct), connecting homogeneous states, are proven to exist in various cases: connections between two stable states, as well as connections between an unstable and a stable state, are considered.

He's variational iteration method for fourth-order parabolic equations

He’s variational iteration method is applied to fourth-order parabolic partial differential equations with variable coefficients. To illustrate the ability and reliability of the method, some examples are given, revealing its effectiveness and simplicity. c © 2007 Published by Elsevier Ltd

Parallel AGEI Method for Fourth Order Parabolic Equations

Based on a high order absolutely stable implicit scheme, we construct the alternating group explicit iterative method (AGEI) for four order parabolic equations. The method is verified to be convergent, and has the intrinsic parallelism. Results of the convergence analysis shows that the method is of high accuracy.

Generalized travelling waves for reaction-diffusion equations

In this paper, we introduce a generalization of travelling waves for evolution equations. We are especially interested in reaction-diffusion equations and systems in heterogeneous media (with general operators and general geometry). Our goal is threefold. First we give several definitions, for transition waves, fronts, pulses, global mean speed of propagation, etc. Next, we discuss the meaning ...

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