Results 21 to 30 of about 332,442 (262)
Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations
International Journal of Mathematics and Mathematical Sciences, 1989 The decomposition method is applied to examples of hyperbolic, parabolic, and elliptic partial differential equations without use of linearizatlon techniques.
G. Adomian
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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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Exact Solutions for Some Partial Differential Equations by Using First Integral Method [PDF]
المجلة العراقية للعلوم الاحصائية, 2011 In this paper, some exact solutions for the convection–diffusion–reaction equation in two dimensions and a nonlinear system of partial differential equations are formally derived by using the first integral method, which are based on the theory of ...
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Traveling wave solutions of Benny Luke equation via the enhanced (G'/G)-expansion method
Ain Shams Engineering Journal, 2021 In this article, we execute the enhanced (G'/G)-expansion method to search for new and further general closed-form wave solutions to the nonlinear partial differential equation, namely the Benny Luke equation.
A.K.M. Kazi Sazzad Hossain, M. Ali Akbar
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The exact solutions to the generalized (2+1)-dimensional nonlinear wave equation
Results in PhysicsDue to the importance of the nonlinear partial differential equations in applied physics and engineering, many mathematicians and physicists are interesting to the nonlinear partial differential equations.
Jianping Li, Can Xu, Junliang Lu
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Bilinear Equation of the Nonlinear Partial Differential Equation and Its Application
Journal of Function Spaces, 2020 The homogeneous balance of undetermined coefficient method is firstly proposed to derive a more general bilinear equation of the nonlinear partial differential equation (NLPDE).
Xiao-Feng Yang, Yi Wei
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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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Gravitating fluids with Lie symmetries
, 2010 We analyse the underlying nonlinear partial differential equation which arises in the study of gravitating flat fluid plates of embedding class one. Our interest in this equation lies in discussing new solutions that can be found by means of Lie point ...
A M Msomi +9 more
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The Extended Trial Equation Method for Some Time Fractional Differential Equations
Discrete Dynamics in Nature and Society, 2013 Nonlinear fractional partial differential equations have been solved with the help of the extended trial equation method. Based on the fractional derivative in the sense of modified Riemann-Liouville derivative and traveling wave transformation, the ...
Yusuf Pandir +2 more
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Green's function of a centered partial difference equation
Electronic Journal of Qualitative Theory of Differential Equations, 2009 Applying a variation of Jacobi iteration we obtain the Green's function for the centered partial difference equation $$\Delta_{ww} u(x_{w-1},y_z) + \Delta_{zz} u(x_w,y_{z-1}) + f(u(x_w,y_z))=0,$$ which is the result of applying the finite difference ...
Richard Avery, Douglas Anderson
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