Block procedure for solving stiff initial value problems using probabilists Hermite polynomials

In this paper, a block linear multistep method (LMM) with step number 4 ( k = 4 ) through collocation and interpolation techniques using probabilists Hermite polynomial as basis function which produces a family of block scheme with maximum order five has been proposed for the numerical solution of stiff problems in ODEs. The method is found to be consistent, convergent, and zero stable.The accuracy of the method is tested with two stiff first order initial value problems. The results are compared with fourth order Runge Kutta (RK4) method and a block LMM developed by Berhan et al. [1]. All numerical examples are solved with the aid of MATLAB software after the schemes are developed using MAPLE software.