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Generalized quasilinearization method for nonlinear boundary value problems with integral boundary conditions [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2010 The quasilinearization method coupled with the method of upper and lower solutions is used for a class of nonlinear boundary value problems with integral boundary conditions. We obtain some less restrictive sufficient conditions under which corresponding
Li Sun, Mingru Zhou, Guangwa Wang
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Method of the quasilinearization for nonlinear impulsive differential equations with linear boundary conditions [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2002 The method of quasilinearization for nonlinear impulsive differential equations with linear boundary conditions is studied. The boundary conditions include periodic boundary conditions. It is proved the convergence is quadratic.
Paul Eloe, S.G. Hristova
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Resonant Problems by Quasilinearization [PDF]
International Journal of Differential Equations, 2014 The Dirichlet resonant boundary value problems are considered. If the respective nonlinear equation can be reduced to a quasilinear one with a nonresonant linear part and both equations are equivalent in some domain Ω and if solutions of the quasilinear ...
Nadezhda Sveikate
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An extended method of quasilinearization for nonlinear impulsive differential equations with a nonlinear three-point boundary condition [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2007 In this paper, we discuss an extended form of generalized quasilinearization technique for first order nonlinear impulsive differential equations with a nonlinear three-point boundary condition.
Bashir Ahmad, Ahmed Alsaedi
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Effect of Cattaneo-Christov Heat Flux on Radiative Hydromagnetic Nanofluid Flow between Parallel Plates using Spectral Quasilinearization Method [PDF]
Journal of Applied and Computational Mechanics, 2022 In this paper, we numerically solve the equations for hydromagnetic nanofluid flow past semi-infinite parallel plates where thermal radiation and a chemical reaction are assumed to be present and significant.
Mangwiro Magodora +2 more
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Solving Nonlinear Boundary Value Problems Using the Higher Order Haar Wavelet Method
Mathematics, 2021 The current study is focused on development and adaption of the higher order Haar wavelet method for solving nonlinear ordinary differential equations. The proposed approach is implemented on two sample problems—the Riccati and the Liénard equations. The
Mart Ratas, Jüri Majak, Andrus Salupere
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Frontiers in Applied Mathematics and Statistics, 2022 Despite the availability of an abundant literature on singularly perturbed problems, interest toward non-linear problems has been limited. In particular, parameter-uniform methods for singularly perturbed semilinear problems are quasi-non-existent.
Olawale O. Kehinde +2 more
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Topological Quasilinear Spaces [PDF]
Abstract and Applied Analysis, 2012 We introduce, in this work, the notion of topological quasilinear spaces as a generalization of the notion of normed quasilinear spaces defined by Aseev (1986). He introduced a kind of the concept of a quasilinear spaces both including a classical linear spaces and also nonlinear spaces of subsets and multivalued mappings. Further, Aseev presented some
Yılmaz, Yılmaz +2 more
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A New Parameter-Uniform Discretization of Semilinear Singularly Perturbed Problems
Mathematics, 2022 In this paper, we present a numerical approach to solving singularly perturbed semilinear convection-diffusion problems. The nonlinear part of the problem is linearized via the quasilinearization technique.
Justin B. Munyakazi, Olawale O. Kehinde
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Applied Mathematics in Science and Engineering, 2023 In this study, a high-order compact finite difference method is used to solve Lane–Emden equations with various boundary conditions. The norm is to use a first-order finite difference scheme to approximate Neumann and Robin boundary conditions, but that ...
James Malele +2 more
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