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On a linear system of differential equations
Вестник КазНУ. Серия математика, механика, информатика, 2019 The linear systems of partial differential equations of the first order with the identical main parts is considered. Аpplying the well-known relation between a normal system of ordinary differential equations and a linear system of partial differential
T. М. Aldibekov, M. M. Aldazharova
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Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020 Background. Finding exact solutions of nonlinear partial differential equations is one of the main problems of the nonlinear systems theory. A number of methods have been developed for integrable systems, but due to the complexity of various nonlinear
T. V. Red'kina, O. V. Novikova
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Localized direct boundary–domain integro–differential formulations for scalar nonlinear boundary-value problems with variable coefficients [PDF]
, 2005 Mixed boundary-value Problems (BVPs) for a second-order quasi-linear elliptic partial differential equation with variable coefficients dependent on the unknown solution and its gradient are considered.
Mikhailov, SE
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Applied Sciences, 2022 The Monte Carlo simulation is a popular statistical method to estimate the effect of uncertainties on the solutions of nonlinear partial differential equations, but it requires a huge computational cost of the deterministic model, and the convergence may
Wenting Du, Jin Su
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Residual equilibrium schemes for time dependent partial differential equations [PDF]
, 2016 Many applications involve partial differential equations which admits nontrivial steady state solutions. The design of schemes which are able to describe correctly these equilibrium states may be challenging for numerical methods, in particular for high ...
Pareschi, Lorenzo, Rey, Thomas
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Fractal and Fractional, 2022 In this paper, the nonlinear system of local fractional partial differential equations is solved via local fractional Elzaki transform decomposition method.
Halil Anac
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Journal of Taibah University for Science, 2022 In this study, the extended tanh-function method has been used to find further general travelling wave solutions for space-time fractional nonlinear partial differential equations, namely, the time fractional nonlinear Sine-Gordon equation and Klein ...
Umme Sadiya +3 more
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Nonlinear elliptic problems with the method of finite volumes
Differential Equations and Nonlinear Mechanics, 2006 We present a finite volume discretization of the nonlinear elliptic problems. The discretization results in a nonlinear algebraic system of equations.
Sanjay Kumar Khattri
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New applications of reduced differential transform method
Alexandria Engineering Journal, 2014 In this paper, we applied the reduced differential transform method (RDTM) for solving two types of nonlinear partial differential equations, namely, generalized Drinfeld–Sokolov (gDS) equations and Kaup–Kupershmidt (KK) equation.
Mohammed O. Al-Amr
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Axioms, 2023 The Laplace residual power series method was introduced as an effective technique for finding exact and approximate series solutions to various kinds of differential equations.
Haneen Khresat +4 more
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