Solving Stiff Differential Equations with the Method of Patches

Solving Stiff Differential Equations with the Method of Patches

Solving Stiff Differential Equations with the Method of Patches David Brydon,∗,† John Pearson,† and Michael Marder∗ ∗Department of Physics, Center for Nonlinear Dynamics, University of Texas at Austin, Austin, Texas 78712; and †Los Alamos National Laboratory, MS B258, Los Alamos, New Mexico 87545 E-mail: [email protected] or [email protected]; [email protected]; and [email protected]

A quasi-interpolation method for solving stiff ordinary differential equations

Haar wavelet method for solving stiff differential equations

Application of the Haar wavelet approach for solving stiff differential equations is discussed. Solution of singular perturbation problems is also considered. Efficiency of the recommended method is demonstrated by means of four numerical examples, mostly taken from well-known textbooks.

The Legendre Wavelet Method for Solving Singular Integro-differential Equations

In this paper, we present Legendre wavelet method to obtain numerical solution of a singular integro-differential equation. The singularity is assumed to be of the Cauchy type. The numerical results obtained by the present method compare favorably with those obtained by various Galerkin methods earlier in the literature.

RBF-PS method and Fourier Pseudospectral method for solving stiff nonlinear partial differential equations

Radial basis function-Pseudospectral method and Fourier Pseudospectral (FPS) method are extended for stiff nonlinear partial differential equations with a particular emphasis on the comparison of the two methods. Fourth-order Runge-Kutta scheme is applied for temporal discretization. The numerical results indicate that RBF-PS method can be more accurate than standard Fourier pseudospectral meth...