The method of fundamental solutions for linear diffusion-reaction equations
نویسندگان
چکیده
منابع مشابه
The Method of Fundamental Solutions with Eigenfunctions Expansion Method for 3D Nonhomogeneous Diffusion Equations
After the successful applications of the combination of the method of fundamental solutions (MFS), the method of particular solutions (MPS), and the eigenfunctions expansion method (EEM) to solve 2D homogeneous and nonhomogeneous diffusion equations by Young et al. (Young et al., Numer Meth Part Differ Equat 22 (2006), 1173), this article intends to extend the same fundamental concepts to calcu...
متن کاملNumerical solutions for fractional reaction-diffusion equations
Fractional diffusion equations are useful for applications where a cloud of particles spreads faster than the classical equation predicts. In a fractional diffusion equation, the second derivative in the spatial variable is replaced by a fractional derivative of order less than two. The resulting solutions spread faster than the classical solutions and may exhibit asymmetry, depending on the fr...
متن کاملThe Whitham principle for multikink solutions of reaction-diffusion equations
An useful strategy for the study of nonlinear partial differential equations (PDE) arising in pattern formation is to consider asymptotic solutions containing one or several localized defects and to simplify the dynamics by finding the equations of motion of the system of interacting defects. The great advantage of this approach is that we are dealing with ordinary differential equations (ODEs)...
متن کاملExact solutions of linear reaction-diffusion processes
8 Many processes during embryonic development involve transport and reaction of molecules, 9 or transport and proliferation of cells, within growing tissues. Mathematical models of 10 such processes usually take the form of a reaction–diffusion partial differential equation 11 (PDE) on a growing domain. Previous analyses of such models have mainly involved solv12 ing the PDEs numerically. Here,...
متن کاملSolutions of Certain Types of Linear and Nonlinear Diffusion-reaction Equations in One Dimension
With a view to having further insight into the mathematical content of the non-Hermitian Hamiltonian associaterd with the diffusion-reaction (D-R) equation in one dimension, we investigate (a) the solitary wave solutions of certain types of its nonlinear versions, and (b) the problem of real eigenvalue spectrum associated with its linear version or with this class of non-Hermitian Hamiltonians....
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 2000
ISSN: 0895-7177
DOI: 10.1016/s0895-7177(99)00233-2