Results 71 to 80 of about 3,506 (170)
Numerical solution of time- and space-fractional coupled Burgers’ equations via homotopy algorithm
Alexandria Engineering Journal, 2016 In this paper, we constitute a homotopy algorithm basically extension of homotopy analysis method with Laplace transform, namely q-homotopy analysis transform method to solve time- and space-fractional coupled Burgers’ equations.
Jagdev Singh, Devendra Kumar, Ram Swroop
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Bi-invariant metrics on contactomorphism groups
, 2015 Contact manifolds are odd-dimensional smooth manifolds endowed with a maximally non-integrable field of hyperplanes. They are intimately related to symplectic manifolds, i.e.
Sandon, Sheila
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International Journal of Chemical Engineering, Volume 2025, Issue 1, 2025.This study comprehensively investigates hemodynamic flow behavior in a blocked‐up, tapered arterial passage using the Sisko hybrid nanofluid model, incorporating both homogeneous and heterogeneous reactions. Extending the modified Buongiorno model, we explored the effects of nanoparticle interaction and non‐Newtonian fluid characteristics (n < 1 and n >
V. Karthik +5 more
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International Journal of Differential Equations, Volume 2025, Issue 1, 2025.The system of nonlinear fractional partial differential equations (SNFPDEs) are widely used in modeling various phenomena in applied sciences. Consequently, finding the solutions to SNFPDEs has become paramount. Recently, an analytic method known as the Semiseparation of Variables Method (S‐SVM) has been applied to obtain the exact solution of the ...
Henry Kwasi Asiedu +4 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.The Fractional Power Series Method (FPSM) is a method which provides systematic procedure to obtain exact solution of the Fractional Partial Differential Equations (FPDEs). Recently, the FPSM has been applied in science and engineering to address physical problems in heat conduction, fluid dynamics, quantum mechanics, viscoelastic and so on ...
Isaac Addai +4 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.The Painlevé equations and their series and rational solutions are essential in applied, pure mathematics and theoretical physics. Recently, quantum algorithms have helped to implement numerical algorithms more easily by performing linear algebra in our working. This article uses a hybrid of quantum computing schemes and spectral methods for the second
Saeid Abbasbandy, Shikha Binwal
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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
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A general comparison theorem for $p$-harmonic maps in homotopy class [PDF]
, 2010 We prove a general comparison result for homotopic finite $p$-energy $C^{1}$ $p$-harmonic maps $u,v:M\to N$ between Riemannian manifolds, assuming that $M$ is $p$-parabolic and $N$ is complete and non-positively curved.
Veronelli, Giona
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International Journal of Differential Equations, 2009 An analytical expression for the solution of the prey-predator problem by an adaptation of the homotopy analysis method (HAM) is presented. The HAM is treated as an algorithm for approximating the solution of the problem in a sequence of time intervals ...
A. K. Alomari +2 more
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Convergence of Iterative Methods Applied to Generalized Fisher Equation
International Journal of Differential Equations, 2010 A generalized Fisher's equation is solved by using the modified Adomian decomposition method (MADM), variational iteration method (VIM), homotopy analysis method (HAM), and modified homotopy perturbation method (MHPM).
Sh. Sadigh Behzadi
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