Numerical Solution of Quantum-Mechanical Pair Equations [PDF]
, 1968 We discuss and illustrate the numerical solution of the differential equation satisfied by the first‐order pair functions of Sinanoğlu. An expansion of the pair function in spherical harmonics and the use of finite difference methods convert the ...
McKoy, Vincent, Winter, N. W.
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Journal of Applied Mathematics and ComputationIn this paper, a new approach to time-fractional partial integro-differential equations with weakly singular kernels (TFPIDE) is presented. The suggested method produces a spectral semi-analytic solution by using shifted first-kind Chebyshev polynomials (
Y. Youssri, A. G. Atta
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Infinite Series Asymptotic Expansions for Decaying Solutions of Dissipative Differential Equations with Non-smooth Nonlinearity [PDF]
Qualitative Theory of Dynamical Systems, 2020 We study the precise asymptotic behavior of a non-trivial solution that converges to zero, as time tends to infinity, of dissipative systems of nonlinear ordinary differential equations. The nonlinear term of the equations may not possess a Taylor series
Dat Cao, L. Hoang, T. Kieu
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On eigenfunction expansions of differential equations with degenerating weight [PDF]
Journal of Differential Equations, 2021 Let $A$ be a symmetric operator. By using the method of boundary triplets we parameterize in terms of a Nevanlinna parameter $ $ all exit space extensions $\wt A=\wt A^*$ of $A$ with the discrete spectrum $\s(\wt A)$ and characterize the Shtraus family of $\wt A$ in terms of abstract boundary conditions.
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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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Generating Higher-Order Lie Algebras by Expanding Maurer Cartan Forms
, 2010 By means of a generalization of the Maurer-Cartan expansion method we construct a procedure to obtain expanded higher-order Lie algebras. The expanded higher order Maurer-Cartan equations for the case $\mathcal{G}=V_{0}\oplus V_{1}$ are found.
A. Perez +6 more
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On stability of a class of second alpha-order fractal differential equations
, 2020 In this paper, we give a review of fractal calculus which is an expansion of standard calculus. Fractal calculus is applied for functions that are not differentiable or integrable on totally disconnected fractal sets such as middle-μ Cantor sets ...
C. Tunç, A. Golmankhaneh
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Constructing general rough differential equations through flow approximations [PDF]
Electronic Journal of Probability, 2020 The non-linear sewing lemma constructs flows of rough differential equations from a braod class of approximations called almost flows. We consider a class of almost flows that could be approximated by solutions of ordinary differential equations, in the ...
A. Lejay
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The Expansion Al-Zughair transformation and its devloper of it to solve Linear ordinary differential equations with constant coefficients [PDF]
مجلة جامعة الانبار للعلوم الصرفةA fundamental component of applied mathematics are differential equations with constant coefficients. Both complicated and physical systems may be well described using it.
Ali Mohammed, Zainab Razzaq
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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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