An AN-stable Rosenbrock-type method for solving stiff differential equations

An approximate method for solving fractional system differential equations

IIn this research work, we have shown that it is possible to use fuzzy transform method (FTM) for the estimate solution of fractional system differential equations (FSDEs). In numerical methods, in order to estimate a function on a particular interval, only a restricted number of points are employed. However, what makes the F-transform preferable to other methods is that it makes use of all poi...

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.

An improvement to the homotopy perturbation method for solving integro-differential equations

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...