Results 1 to 10 of about 7,909 (157)
The invariant subspace method for solving nonlinear fractional partial differential equations with generalized fractional derivatives [PDF]
Advances in Difference Equations, 2020 In this paper, we show that the invariant subspace method can be successfully utilized to get exact solutions for nonlinear fractional partial differential equations with generalized fractional derivatives. Using the invariant subspace method, some exact
Mohamed S. Abdel Latif +2 more
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Nonlinear differential equation with first order partial derivatives
Вестник КазНУ. Серия математика, механика, информатика, 2018 The asymptotic behavior of solutions of a nonlinear differential equation with first-order partial derivatives solved with respect to one of the derivatives is investigated.
T. М. Aldibekov, M. M. Aldazharova
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Mathematics, 2020 In this paper a new method called the least squares differential quadrature method (LSDQM) is introduced as a straightforward and efficient method to compute analytical approximate polynomial solutions for nonlinear partial differential equations with ...
Constantin Bota +4 more
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New Analytical Technique for Solving a System of Nonlinear Fractional Partial Differential Equations
Mathematics, 2017 This paper introduces a new analytical technique (NAT) for solving a system of nonlinear fractional partial differential equations (NFPDEs) in full general set. Moreover, the convergence and error analysis of the proposed technique is shown.
Hayman Thabet +2 more
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Healthcare Analytics, 2023 This study presents a fractional mathematical model based on nonlinear Partial Differential Equations (PDEs) of fractional variable-order derivatives for the host populations experiencing transmission and evolution of the Severe Acute Respiratory ...
Hayman Thabet, Subhash Kendre
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Journal of Computational and Applied Mathematics, 2008 The author proposes a new method for designing dissipative or conservative finite element schemes. The resulting schemes by the method can be implemented only with \(H^1\) elements. These schemes are suitable for Cahn-Hilliard, Korteweg-de Vries, and Schrödinger equations. The key device is the new concept of discrete partial derivatives.
Takayasu Matsuo
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Journal of Computational and Applied Mathematics, 1988 The problem of computing the Jacobian of functions is studied in some detail. The main idea is to evaluate formulas and its (first partial) derivatives by sequences of very simple steps of the form \(v_ i=\phi_ i(u_{i1},u_{i2},...,u_{im})\) where the chain rule is used repeatedly for the derivatives and where the \(\phi_ i\) are predefined basic ...
Takashi Tsuchiya
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On the solvability of a nonlinear optimization problem with boundary vector control of oscillatory processes [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 In the paper, the solvability of the nonlinear boundary optimization problem has been investigated for the oscillation processes, described by the integro-differential equation in partial derivatives with Fredholm integral operator.
E.F. Abdyldaeva +2 more
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Bäcklund Transformations for Liouville Equations with Exponential Nonlinearity
Axioms, 2021 This work aims to obtain new transformations and auto-Bäcklund transformations for generalized Liouville equations with exponential nonlinearity having a factor depending on the first derivatives.
Tatyana V. Redkina +3 more
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Fractal and Fractional, 2022 A nonlocal boundary value problem for a couple of two scalar nonlinear differential equations with several generalized proportional Caputo fractional derivatives and a delay is studied.
Ravi P. Agarwal, Snezhana Hristova
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