Abstract
This manuscript introduces a new alteration to the Homotopy
Perturbation Method by coupling it with the Laplace Transform. The corresponding Homotopy Perturbation Laplace Method (HPLM) promises
better results in terms of accuracy, efficiency, and easy-of-use when compared to other semi-numerical schemes, and is therefore conveniently
poised to be used for various problems in science and engineering. The
method is tested against standard fifth and sixth order linear and nonlinear ordinary differential equations. For validity, the obtained results
are compared with well known analytical and numerical schemes
Mubashir Qayyum, Hamid Khan, Omar Khan. (2016) A New and Reliable Modification of Homotopy Perturbation Method, Punjab University Journal of Mathematics, Volume 48, Issue 2.
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