Fast methods for the solution of singular integro-differential and differential equations
International Journal of Mathematics and Mathematical Sciences, 1981 Uniform methods based on the use of the Galerkin method and different Chebyshev expansion sets are developed for the numerical solution of linear integrodifferential equations of the first order.
L. F. Abd-Elal
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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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Relaxation and asymptotic expansion of controlled stiff differential equations
International Journal of ControlThe control of relaxation-type systems of ordinary differential equations is investigated using the Hamilton-Jacobi-Bellman equation. First, we recast the model as a singularly perturbed dynamics which we embed in a family of controlled systems. Then we study this dynamics together with the value function of the associated optimal control problem.
Michael Herty, Hicham Kouhkouh
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The discrete (G′/G)-expansion method applied to the differential-difference Burgers equation and the relativistic Toda lattice system [PDF]
, 2012 We introduce the discrete (G′/G)-expansion method for solving nonlinear differential-difference equations (NDDEs). As illustrative examples, we consider the differential-difference Burgers equation and the relativistic Toda lattice system.
Aslan, İsmail
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, 2021 In this paper, we apply the pseudospectral method based on the Chebyshev cardinal function to solve the parabolic partial integro-differential equations (PIDEs).
Fairouz Tchier +3 more
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On systems of differential equations with extrinsic oscillation [PDF]
, 2010 We present a numerical scheme for an efficient discretization of nonlinear systems of differential equations subjected to highly oscillatory perturbations.
null null +6 more
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A Fresh Look To Exact Solutions of Some Coupled Equations
ITM Web of Conferences, 2018 This manuscript is going to seek travelling wave solutions of some coupled partial differential equations with an expansion method known as Sine- Gordon expansion method.
Karaagac Berat +3 more
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Steady-State Process Analysis of DC Converter Based on Equations Expansion
Mìkrosistemi, Elektronìka ta Akustika, 2020 The paper deals with processes analysis in circuits of converter working on a time-varying load. A control of inverter and load switches are realised by signals with incommensurable frequencies.
Igor Yevheniiovych Korotyeyev +1 more
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Asymptotic expansions in a nonhomogeneous differential equation [PDF]
Proceedings of the American Mathematical Society, 1967 In recent papers [2]-[8] asymptotic behavior of the solutions of an ordinary differential equation has been discussed by the development of an asymptotic expansion for the solution that is valid to one term. In [5], [7], asymptotic expansions valid to two terms were obtained for certain solutions of a differential equation.
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Exact solutions for STO and (3+1)-dimensional KdV-ZK equations using G′G2-expansion method
Results in Physics, 2017 This article deals with finding some exact solutions of nonlinear fractional differential equations (NLFDEs) by applying a relatively new method known as G′G2-expansion method.
Sadaf Bibi +4 more
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