Results 21 to 30 of about 9,068 (293)
On Multi‐Laplace Transform for Solving Nonlinear Partial Differential Equations with Mixed Derivatives [PDF]
Mathematical Problems in Engineering, 2014 A novel approach is proposed to deal with a class of nonlinear partial equations including integer and noninteger order derivative. This class of equations cannot be handled with any other commonly used analytical technique. The proposed method is based on the multi‐Laplace transform. We solved as an example some complicated equations.
Atangana, Abdon +1 more
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On the Solution of Multi-Term Nonlinear Partial Derivative Delay Differential Equations
WSEAS TRANSACTIONS ON APPLIED AND THEORETICAL MECHANICS, 2022 In our paper, we used the Adomian decomposition method to solve multi-term nonlinear delay differential equations of partial derivative order, these types of equations are studied. When we used this method, the being of an exclusive solution will be provided, approximate analytics of this method applied to these kinds of equations will be disputed, and
Wasan Ajeel Ahmood +1 more
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An effective approach to the solution of a system of nonlinear differential equations in partial derivatives [PDF]
International Journal of Mathematical Analysis, 2013 There are few approaches to the solution of a system of nonlinear differential equations in partial derivatives, for example $\cite{NK87} - \cite{EK98}$. In our paper we propose an approach that was used to solve the Navier-Stokes equations in three dimensional space.
Tsionskiy, A., Tsionskiy, M.
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Mathematics, 2023 In this paper, the problems of estimating the parameters of partial differential equations from numerous observations in the vicinity of some reference points are considered.
Gurami Tsitsiashvili +2 more
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Extremum Principle for the Hadamard Derivatives and Its Application to Nonlinear Fractional Partial Differential Equations [PDF]
Fractional Calculus and Applied Analysis, 2019 In this paper we obtain new estimates of the Hadamard fractional derivatives of a function at its extreme points. The extremum principle is then applied to show that the initial-boundary-value problem for linear and nonlinear time-fractional diffusion equations possesses at most one classical solution and this solution depends continuously on the ...
Kirane, Mokhtar, Torebek, Berikbol T.
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International Journal of Differential Equations, 2023 The Laplace residual power series (LRPS) method uses the Caputo fractional derivative definition to solve nonlinear fractional partial differential equations. This technique has been applied successfully to solve equations such as the fractional Kuramoto–
Khalid K. Ali +4 more
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Results in Physics, 2022 Recently, the development of novel methods for finding solutions to partial differential equations has made great progress in various fields of science. These equations are an important tool in describing many phenomena that occur around us. The research
Shahram Rezapour +3 more
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Solution of the partial derivative equation with nonlinear boundary conditions [PDF]
Vietnam Journal of Mechanics, 1987 In this paper, the asymptotic method has been used to construct the solution of the partial derivative equation with nonlinear conditions, describing vibration of the rectangular thin plate. It is shown that the physical nonlinearity of the boundary has influence on oscillational characteristics of systems.
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Characteristics of Conservation Laws for Difference Equations [PDF]
, 2013 Each conservation law of a given partial differential equation is determined (up to equivalence) by a function known as the characteristic. This function is used to find conservation laws, to prove equivalence between conservation laws, and to prove the ...
Hydon, PE +3 more
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Journal of Ocean Engineering and Science, 2019 This paper examines the effects of three distinct numerical schemes (Adomian Decomposition, quintic & septic Spline methods) to investigate semi-analytical and approximate solutions on Wu–Zhang (ZW) system.
Mostafa M.A. Khater +2 more
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