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Solutions of Smooth Nonlinear Partial Differential Equations [PDF]
Abstract and Applied Analysis, 2011 The method of order completion provides a general and type-independent theory for the existence and basic regularity of the solutions of large classes of systems of nonlinear partial differential equations (PDEs). Recently, the application of convergence
Jan Harm van der Walt
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Demonstratio Mathematica, 2021 In this work, we develop and analyze an explicit finite volume scheme for a one-dimensional nonlinear, degenerate, convection–diffusion equation having application in petroleum reservoir.
Mostefai Mohamed Lamine +2 more
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Nonlinear Partial Differential Equations [PDF]
, 2012 In this chapter we consider geometric partial differential equations, which appear for two-dimensional surfaces in their state of equilibrium. Here we give the differential-geometric foundations in Section 1 and determine in Section 2 the Euler equations of 2-dimensional, parametric functionals. In Section 3 we present the theory of characteristics for
Luis A. Caffarelli +4 more
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Solutions of Nonlinear Integro-Partial Differential Equations by the Method of G′/G,1/G
Advances in Mathematical Physics, 2022 In this article, a special expansion method is implemented in solving nonlinear integro-partial differential equations of 2+1-dimensional using a special expansion method of G′/G,1/G.
Daba Meshesha Gusu, Chala Bulo
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International Journal of Differential Equations, 2021 In this paper, a novel analytical method for solving nonlinear partial differential equations is studied. This method is known as triple Laplace transform decomposition method. This method is generalized in the sense of conformable derivative.
Shailesh A. Bhanotar +1 more
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Axioms, 2023 Transformations are much used to connect complicated nonlinear differential equations to simple equations with known exact solutions. Two examples of this are the Hopf–Cole transformation and the simple equations method.
Nikolay K. Vitanov
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A method for constructing a complete bifurcation picture of a boundary value problem for nonlinear partial differential equations: application of the Kolmogorov-Arnold theorem [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамикаThe purpose of this study is to develop a numerical method for bifurcation analysis of nonlinear partial differential equations, based on the reduction of partial differential equations to ordinary ones, using the Kolmogorov-Arnold theorem.
Gromov, Vasily Alexandrovich +4 more
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Weak Continuity and Compactness for Nonlinear Partial Differential Equations [PDF]
, 2015 We present several examples of fundamental problems involving weak continuity and compactness for nonlinear partial differential equations, in which compensated compactness and related ideas have played a significant role.
Chen, Gui-Qiang G.
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Solving Newell-Whitehead-Segel Equation By using Elzaki Transform and its inverse with The Homotopy Perturbation Method [PDF]
Al-Rafidain Journal of Computer Sciences and MathematicsThis research is a combination of the homotopy perturbation method with Elzaki transform method and Elzaki inverse to solve some nonlinear partial differential equations.
Mohammed Alsofey +1 more
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Oscillatory processes in the theory of particulate formation in supersaturated chemical solutions [PDF]
, 1975 We study a nonlinear problem which occurs in the theory of particulate formation in supersaturated chemical solutions. Mathematically, the problem involves the bifurcation of time-periodic solutions in an initial-boundary value problem involving a ...
Cohen, Donald S., Keener, James P.
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