Laplace transform-homotopy perturbation method with arbitrary initial approximation and residual error cancelation

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• 作者：U. Filobello-Nino^a ; H. Vazquez-Leal^a ; ^{hvazquez@uv.mx} ; ^{hvlcom@hotmail.com} ; A. Sarmiento-Reyes^b ; J. Cervantes-Perez^a ; A. Perez-Sesma^a ; V.M. Jimenez-Fernandez^a ; D. Pereyra-Diaz^a ; J. Huerta-Chua^c ; L.J. Morales-Mendoza^d ; M. Gonzalez-Lee^d ; F. Castro-Gonzalez^a
• 关键词：Homotopy perturbation method ; Laplace transform ; Differential equations
• 刊名：Applied Mathematical Modelling
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：41
• 期：Complete
• 页码：180-194
• 全文大小：1104 K
• 卷排序：41

文摘

A modified Laplace transform homotopy perturbation method (MLT–HPM) is presented. MLT–HPM improves the accuracy of approximate solutions obtained by other methods. MLT–HPM is employed to study some cases of nonlinear perturbative problems. MLT–HPM introduces a suitable initial approximation. MLT–HPM proposes to cancel the residual error in several points of the interval.