n this paper, we apply picard’s iteration method followed by adomian decomposition method to solve a nonlinear singular cauchy problem of euler- poisson- darboux equation. the solution of the problem is much simplified and shorter to arriving at the solution as compared to the technique applied by carroll and showalter (1976)in the solution of singular cauchy problem.

In statistics, a meta-analysis combines the results of several studies that address a set of related research hypotheses. In its simplest form, this is normally by identification of a common measure of effective size for which a weighted average might be the output of a meta-analysis. Here the weighting might be related to sample sizes within the individual studies. More generally there are oth...

In this paper a new technique using tensor product is presented which yields an exact solution to Burger’s equation ut + αuux = υuxx one of the very few nonlinear partial differential equations that can be solved analytically. Moreover we give atomic for linear with and without variable coefficient terms.