Results 1 to 10 of about 4,202 (100)
On the numerical solution of some differential equations with nonlocal integral boundary conditions via Haar wavelet [PDF]
Proceedings of the Estonian Academy of Sciences, 2022 Differential equations with nonlocal boundary conditions are used to model a number of physical phenomena encountered in situations where data on the boundary cannot be measured directly. This study explores numerical solutions to elliptic, parabolic and
Imran Aziz +2 more
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Approximation of elliptic and parabolic equations with Dirichlet boundary conditions
Mathematics in Engineering, 2023 We obtain an approximation result of the weak solutions to elliptic and parabolic equations with Dirichlet boundary conditions. We show that the weak solution can be obtained with a limit of approximations by regularizing the nonlinearities and ...
Youchan Kim, Seungjin Ryu, Pilsoo Shin
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Open Physics, 2021 This research paper uses a direct algebraic computational scheme to construct the Jacobi elliptic solutions based on the conformal fractional derivatives for nonlinear partial fractional differential equations (NPFDEs). Three vital models in mathematical
Gepreel Khaled A., Mahdy Amr M. S.
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Periodic and Solitary Wave Solutions for the One-Dimensional Cubic Nonlinear Schrödinger Model
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 Using a similar approach as Korteweg and de Vries, [19], we obtain periodic solutions expressed in terms of the Jacobi elliptic function cn, [3], for the self-focusing and defocusing one-dimensional cubic nonlinear Schrödinger equations.
Bica Ion, Mucalica Ana
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Doubly Periodic Meromorphic Solutions of Autonomous Nonlinear Differential Equations
Моделирование и анализ информационных систем, 2014 The problem of constructing and classifying elliptic solutions of nonlinear differential equations is studied. An effective method enabling one to find an elliptic solution of an autonomous nonlinear ordinary differential equation is described.
M. V. Demina, N. A. Kudryashov
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Jacobi Elliptic Solutions for Nonlinear Differential Difference Equations in Mathematical Physics
Journal of Applied Mathematics, 2012 We put a direct new method to construct the rational Jacobi elliptic solutions for nonlinear differential difference equations which may be called the rational Jacobi elliptic functions method.
Khaled A. Gepreel, A. R. Shehata
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Al-Mustansiriyah Journal of Science, 2019 This paper is concerned with, the proof of the existence and the uniqueness theorem for the solution of the state vector of a couple of nonlinear elliptic partial differential equations using the Minty-Browder theorem, where the continuous classical ...
Jamil Amir Al-hawasy +1 more
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Journal of Applied Mathematics, 2013 We use the improved general mapping deformation method based on the generalized Jacobi elliptic functions expansion method to construct some of the generalized Jacobi elliptic solutions for some nonlinear partial differential equations in mathematical ...
Khaled A. Gepreel
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Mathematics in Engineering, 2023 In this paper, we prove existence of distributional solutions of a nonlinear elliptic system, related to the Keller-Segel model. Our starting point is the boundedness theorem (for solutions of elliptic equations) proved by Guido Stampacchia and Neil ...
Lucio Boccardo
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Journal of Applied Mathematics, 2012 We modified the rational Jacobi elliptic functions method to construct some new exact solutions for nonlinear differential difference equations in mathematical physics via the lattice equation, the discrete nonlinear Schrodinger equation with a saturable
Khaled A. Gepreel +2 more
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