Results 61 to 70 of about 29,620,228 (168)
The exact solutions of nonlinear problems by Homotopy Analysis Method (HAM) [PDF]
, 2016 The present paper presents the comparison of analytical techniques. We establish the existence of the phenomena of the noise terms in the perturbation series solution and find the exact solution of the nonlinear problems.
Hafiz Abdul Wahab +2 more
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Homotopy Analysis and Pade´ Methods for Solving Two Nonlinear Equations
Journal of Mathematical Extension, 2011 In this paper, we are giving analytic approximate solutions to nonlinear PDEs using the Homotopy Analysis Method (HAM) and Homotopy Pad´e Method(HPad´eM).
A. Golbabai, H. Kheiri, D. Ahmadian
doaj
Walailak Journal of Science and Technology, 2013 In this paper, the homotopy analysis method was used to solve nonlinear parabolic-hyperbolic partial differential equations. Examples are presented here to show the usability of the method for such equations.
Mashallah MATINFAR +3 more
doaj +1 more source
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In modern industry, vibration control is crucial for equipment safety, and high‐precision instruments require effective vibration reduction. The homotopy analysis method (HAM) can solve nonlinear problems without relying on small‐parameter assumptions, overcoming the limitations of traditional approaches.
Yanwei Li +4 more
wiley +1 more source
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this paper, we study a numerical Cauchy problem associated with a singular two‐dimensional fourth‐order partial differential equation that includes a Caputo time‐fractional derivative of order 0 < δ < 1. The proposed mathematical model integrates a time‐fractional component with spatial operators of Bessel type and biharmonic terms, thereby ...
Said Mesloub +2 more
wiley +1 more source
, 2016 Meningkatnya jumlah penduduk selalu diiringi dengan meningkatnya kebutuhan akan perumahan. Di kota-kota besar termasuk kota Makassar dan Surabaya, kebutuhan perumahan menjadi sebuah masalah penting karena pertumbuhan penduduk yang disebabkan kelahiran ...
Firdaus Firdaus, Firdaus, Firdaus
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Pemulihan Hak Ekonomi dan Sosial Korban Pelanggaran Berat Hak Asasi Manusia dalam Peristiwa Talangsari 1989 [PDF]
, 2017 Dugaan peristiwa pelanggaran berat HAM masa lalu yang pernah terjadi, yakni penyerbuan aparat tentara ke dusun Talangsari III, Desa Rajabasa Lama, Kecamatan Way Jepara, Kabupaten Lampung Timur (sebelumnya masuk Kabupaten Lampung Tengah), yang ...
Utami, Penny Naluria +1 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.In this study, an enhanced semianalytical framework is developed for solving nonlinear fractional differential equations involving the Caputo–Fabrizio fractional operator. The proposed Caputo–Fabrizio q‐Kushare homotopy analysis transform method (CFq‐KHATM) combines the Caputo–Fabrizio derivative, Kushare transform, and q‐homotopy analysis within a ...
Aslı Alkan, Halil Anaç, Smritijit Sen
wiley +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.This study employs the conformable fractional q‐Shehu homotopy analysis transform approach to investigate the nonlinear conformable time‐fractional Caudrey–Dodd–Gibbon–Sawada–Kotera equation incorporating a proportional delay term. Error analysis was performed for the results obtained with this method and the analytical solution.
Aslı Alkan +4 more
wiley +1 more source
Annales Mathematicae Silesianae, 2019 In this paper the authors aspire to obtain the approximate analytical solution of Modified Burgers Equation with newly defined conformable derivative by employing homotopy analysis method (HAM).
Kurt Ali, Tasbozan Orkun
doaj +1 more source