Results 111 to 120 of about 1,147 (198)

Modified Homotopy Perturbation Transform Method: A Paradigm for Nonlinear Boundary Layer Problems

, 2014
This paper suggests a novel modified homotopy perturbation transform method (MHPTM) for a nonlinear boundary layer problem by suitable choice of an initial solution.
Khan, Yasir, Usman, Muhammad
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Symmetry Transforms, Global Plasma Equilibria and Homotopy Analysis Method

, 2010
Magnetohydrodynamics (MHD) flows and equations have been the focus of a large number of researchers. Here a study of such flows and equations is presented. The first chapter contains a brief introduction to Homotopy Analysis Method (HAM) along with some other definitions.
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Computational Study of Time-Fractional Kawahara and Modified Kawahara Equations with Caputo Derivatives Using Natural Homotopy Transform Method

This article presents a computational analysis of approximate solutions for the time-fractional nonlinear Kawahara problem (KP) and the modified Kawahara problem (modified KP).
Azeem Hafiz P. Ajmal, Loredana Florentina Iambor, Ebraheem Alzahrani, Muhammad Nadeem   +3 more
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A fractional-order differential equation model of diabetes mellitus type

International Journal of Mathematics for Industry
Diabetes Mellitus is a metabolic disorder that occurs when the sugar level in blood is not proper. Diabetes is classified into many types and this classification is based upon the etiology of the disease. This disease is classified into three main types:
Shikha Dadhich, Mahaveer Prasad Yadav, Kritika   +2 more
doaj   +1 more source

Implementation and Convergence Analysis of Homotopy Perturbation Coupled With Sumudu Transform to Construct Solutions of Local-Fractional PDEs

, 2018
In the present paper, the explicit solutions of some local fractional partial differential equations are constructed through the integration of local fractional Sumudu transform and homotopy perturbation such as local fractional dissipative and damped ...
Fethi B. M. Belgacem, Toufik Mekkaoui, Kamal Ait Touchent, Zakia Hammouch, Fethi B. M. Belgacem   +4 more
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An Analytical Study on Fractional Fokker-Planck Equation by Homotopy Analysis Transform Method [PDF]

Recent Advances in Mathematics, Statistics and Computer Science, 2016
Jitendra Singh, Rajeev Kumar
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Stability Analysis Study of Time-Fractional Nonlinear Modified Kawahara Equation Based on the Homotopy Perturbation Sadik Transform

In this manuscript, we survey a numerical algorithm based on the combination of the homotopy perturbation method and the Sadik transform for solving the time-fractional nonlinear modified shallow water waves (called Kawahara equation) within the frame of
Saeed Kosari, Jana Shafi, Mohammad Hossein Derakhshan, Zhihua Chen   +3 more
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A robust regime via Sumudu HPM for Schrödinger equation in different dimensions

Results in Optics
Sumudu Transform Homotopy Perturbation Method (STHPM), a hybrid algorithm that combines semi-analytical regime “Homotopy Perturbation Method” and an integral transform “Sumudu Transform” to evaluate precise solution of various types of Schrödinger ...
Mamta Kapoor
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Homotopy Analysis Fractional Sumudu Transform Method for Semi-analytic Solution of 2-D Time-Fractional Black–Scholes Equations

Through two assets of the European call option into the form of a time-fractional order Caputo derivative, we have addressed the time-fractional Black-Scholes equations in the current paper. The homotopy analysis fractional Sumudu transform technique has
Moaaz, Osama, Sooppy Nisar, Kottakkaran, Kumar Pandey, Rishi, M. Ali, Hegagi, Kishun Lodhi, Ram   +4 more
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Comparative Analysis of Modified Admoian Decomposition Method and Homotopy Perturbation Mohand Transform Method for Solving Burger’s Equations

European Journal of Pure and Applied Mathematics
This article examines the analytical solution for Burger’s equations utilizing MADM and AHPMTM. We compare both analytical methods for convergence. The MADM uses a novel integral transform (the Mohand transform) with the Adomian decomposition method.
Mohamed Adel, M. Khader, T. A. Assiri
openaire   +1 more source