Download or read book A Gradient Random Walk Method for Two-dimensional Reaction- Diffusion Equations written by Arthur Sherman and published by . This book was released on 1992 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "We present an extension to two space dimensions of the gradient random walk algorithm for reaction-diffusion equations. This family of algorithms is related closely to the random vortex method of computational fluid dynamics. Although the computational cost is high, the method has the desirable features of being grid free and of automatically adapting to the solution by concentrating elements where the gradient is large. In addition, the method can be extended easily to more than two space dimensions. A key feature of the method is discretization in terms of the dependent, rather than independent, variable, giving it features in common with Lagrangian particle methods. We derive the method here and illustrate its application to some simple reaction-diffusion wave propagation problems."