SOLVING STIFF DIFFERENTIAL EQUATIONS USING A-STABLE BLOCK METHOD

A quasi-interpolation method for solving stiff ordinary differential equations

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]

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.

An Accurate Computation of Block Hybrid Method for Solving Stiff Ordinary Differential Equations

In this paper, self-starting block hybrid method of order (5,5,5,5) is proposed for the solution of the special second order ordinary differential equations with associated initial or boundary conditions. The continuous hybrid formulations enable us to differentiate and evaluate at some grids and off – grid points to obtain four discrete schemes, which were used in block form for parallel or se...

Solving fuzzy differential equations by using Picard method

In this paper,  The Picard method is proposed to solve the system of first-order fuzzy  differential equations  $(FDEs)$ with fuzzy initial conditions under generalized $H$-differentiability. Theexistence and uniqueness of the solution and convergence of theproposed method are proved in details. Finally, the method is illustrated by solving some examples.