Results 31 to 40 of about 34,807 (305)
Exact Solutions for Some Fractional Differential Equations
Advances in Mathematical Physics, 2015 The extended Jacobi elliptic function expansion method is used for solving fractional differential equations in the sense of Jumarie’s modified Riemann-Liouville derivative.
Abdullah Sonmezoglu
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New analytic solutions of some fourth-order nonlinear space-time fractional partial differential equations by G' / G -expansion method [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2021 The exact traveling wave solutions of the space-time fractional Estevez-Mansfield-Clarkson (EMC) equation and the space-time fractional Ablowitz-Kaup-Newell-Segur (AKNS) water equation are investigated.
Sirasrete Phoosree +1 more
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, 2010 The extended tanh-function expansion method for finding solutions to nonlinear evolution equations delivers solutions in a straightforward manner and in a neat and helpful form.
Parkes, E.J.
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Traveling wave solutions of Benny Luke equation via the enhanced (G'/G)-expansion method
Ain Shams Engineering Journal, 2021 In this article, we execute the enhanced (G'/G)-expansion method to search for new and further general closed-form wave solutions to the nonlinear partial differential equation, namely the Benny Luke equation.
A.K.M. Kazi Sazzad Hossain, M. Ali Akbar
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Nonlinear Extension of Multiproduct Expansion Schemes and Applications to Rigid Bodies
International Journal of Differential Equations, 2013 In this paper we discuss time integrators for nonlinear differential equations. In recent years, splitting approaches have become an important tool for reducing the computational time needed to solve differential equations.
Jürgen Geiser
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Series expansions for functional differential equations [PDF]
Integral Equations and Operator Theory, 1995 The question is studied whether the solution of a linear functional equation \({d \over dt} Dx_ t = Lx_ t\), \(t \geq 0\), \(x_ 0 = \varphi\), \(\varphi \in {\mathcal C}\) \(({\mathcal C}\) is the Banach space of continuous functions endowed with the supremum norm, \(x_ t\) is the state at time \(t)\) can be represented by a series of elementary ...
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Asymptotic solvers for ordinary differential equations with multiple frequencies
, 2015 We construct asymptotic expansions for ordinary differential equations with highly oscillatory forcing terms, focussing on the case of multiple, non-commensurate frequencies.
Iserles, Arieh +3 more
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On Expansion of a Solution of General Nonautonomous Polynomial Differential Equation [PDF]
Journal of Dynamical and Control Systems, 2014 13 pages, To be published in Journal of Dynamical and Control ...
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, 2021 This paper is concerned with the rate of convergence of the distribution of the sequence {Fn/Gn}, where Fn and Gn are each functionals of infinite-dimensional Gaussian fields.
Hyun-Suk Park, Yoon-Tae Kim
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The novel Leal-polynomials for the multi-expansive approximation of nonlinear differential equations
Heliyon, 2020 This work presents the novel Leal-polynomials (LP) for the approximation of nonlinear differential equations of different kind. The main characteristic of LPs is that they satisfy multiple expansion points and its derivatives as a mechanism to replicate ...
Hector Vazquez-Leal +3 more
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