In this paper, an efficient modification is introduced into the well-known homotopy perturbation method (HPM). The proposed modification is obtained by inserting an Iterative scheme in the standard HPM. Three examples from nonlinear partial differential-algebraic equations are given to elucidate the solution procedure. Comparison with the results obtained by standard homotopy perturbation algorithm shows that the present ones have remarkable accuracy.
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Xian Univ Architecture & Technol, Sch Sci, Xian, Peoples R China
Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo, Peoples R China
Soochow Univ, Coll Text & Clothing Engn, Natl Engn Lab Modern Silk, 199 Ren Ai Rd, Suzhou, Peoples R ChinaXian Univ Architecture & Technol, Sch Sci, Xian, Peoples R China
He, Ji-Huan
Jiao, Man-Li
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Xian Univ Architecture & Technol, Sch Sci, Xian, Peoples R ChinaXian Univ Architecture & Technol, Sch Sci, Xian, Peoples R China
Jiao, Man-Li
Gepreel, Khaled A.
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Taif Univ, Coll Sci, Dept Math, POB 11099, Taif 21944, Saudi ArabiaXian Univ Architecture & Technol, Sch Sci, Xian, Peoples R China
Gepreel, Khaled A.
Khan, Yasir
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Univ Hafr Al Batin, Dept Math, Hafar al Batin 31991, Saudi ArabiaXian Univ Architecture & Technol, Sch Sci, Xian, Peoples R China
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Mansoura Univ, Dept Phys, Theoret Res Grp, Fac Sci, Mansoura 35516, Egypt
King Kahlid Univ, Fac Educ Girls, Dept Phys, Bisha, Saudi ArabiaMansoura Univ, Dept Phys, Theoret Res Grp, Fac Sci, Mansoura 35516, Egypt