I have seen many examples of non-linear equations being solved by HPM, each problem is having specified boundary or initial conditions. What if all the boundary conditions(in BVP) are homogenous?
All semi numerical method like HPM, MAM, VIM and ADM solve only ordinary differential equations only!!. Many authors used this method to solve partial differential equations with initial conditions or boundary conditions or mixed conditions. In fact, these authors used an initial solution say u0 (t, x) contain the exact solution in x and the iterative process will generate the solution in term to see all examples in wazwaz book
The Adomian decomposition method applied to nonlinear evolution equations in solution theory, In: Encyclopedia of Complexity and Systems Science, Ed.: R. A. Meyers, Springer
Thanks Ayad for the advice.
However, I got a problem with homogeneous boundary conditions. The paper is hereby attached hopefully will add to your academic knowledge.
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