[PDF][PDF] An accurate analytic solution for differential and integral equations by modified homotopy perturbation method

MSH Chowdhury, NI Razali, S Ali… - Middle-East Journal of …, 2013 - researchgate.net
MSH Chowdhury, NI Razali, S Ali, MM Rahman
Middle-East Journal of Scientific Research, 2013researchgate.net
In this paper, the new modified Homotopy Perturbation Method (HPM) is applied for
analytical treatment of differential equations and integral equations. The new modified HPM
yields an analytical solution in terms of a rapidly convergent infinite power series with easily
computable terms. The efficiency of the new modified technique is examined by several
illustrative examples. In all cases of differential and integral equations, the new modified
HPM yields the exact solutions in minimal iterations only.
Abstract
In this paper, the new modified Homotopy Perturbation Method (HPM) is applied for analytical treatment of differential equations and integral equations. The new modified HPM yields an analytical solution in terms of a rapidly convergent infinite power series with easily computable terms. The efficiency of the new modified technique is examined by several illustrative examples. In all cases of differential and integral equations, the new modified HPM yields the exact solutions in minimal iterations only.
researchgate.net
以上显示的是最相近的搜索结果。 查看全部搜索结果