Results 21 to 30 of about 1,690 (203)
International Journal of Differential Equations, Volume 2023, Issue 1, 2023., 2023 Heat transfer in fluid mechanisms has a stronghold in everyday activities. To this end, nanofluids take a leading position in the advent of the betterment of thermal conductivity. The present study examines numerical investigations of incompressible magnetohydrodynamic (MHD) flow of Carreau nanofluid by considering nonlinear thermal radiation, Joule ...
Endale Ersino Bafe +3 more
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Quasilinear elliptic equations via perturbation method [PDF]
Proceedings of the American Mathematical Society, 2012 The paper is concerned with the existence and multiplicity of solutions for quasilinear equations of the form \[ \begin{cases} \sum _ {i,j=1}^ND_j( a_{ij}(x,u) D_iu) & \\ \qquad-\frac12 \sum _{i,j=1}^N D_sa_{ij}(x,u) D_iu D_ju + f(x,u)=0& \mathrm{in}\,\, \Omega ,\\ u=0 & \mathrm{on}\,\, \partial \Omega \end{cases} \tag{1} \] where \(D_i= \partial ...
Liu, Xiang-Qing +2 more
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Journal of Applied Mathematics, Volume 2023, Issue 1, 2023., 2023 Conventionally, the problem of studying the transport of water, heat, and solute in soil or groundwater systems has been numerically solved using finite difference (FD) or finite element (FE) methods. FE methods are attractive over FD methods because they are geometrically flexible.
Elias Mwakilama +3 more
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Quasilinear Equations via Elliptic Regularization Method
Advanced Nonlinear Studies, 2013 Abstract In this paper we study a class of quasilinear problems, in particular we deal with multiple sign-changing solutions of quasilinear elliptic equations. We further develop an approach used in our earlier work by exploring elliptic regularization. The method works well in studying multiplicity and nodal property of solutions.
Liu, Jia-Quan +2 more
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Further generalization of generalized quasilinearization method [PDF]
International Journal of Stochastic Analysis, 1994 The question whether it is possible to develop monotone sequences that converge to the solution quadratically when the function involved in the initial value problem admits a decomposition into a sum of two functions, is answered positively. This extends the method of generalized quasilinearization to a large class.
Lakshmikantham, V., Shahzad, N.
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Mathematical Problems in Engineering, Volume 2023, Issue 1, 2023., 2023 The phenomenon of heat transfer is prevalent in industries and has an extensive range of applications. However, mostly the discussion of heat transfer problems is limited to the study of the first law of thermodynamics, which deals with energy conservation.
Prashu +5 more
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Wavelet-Galerkin Quasilinearization Method for Nonlinear Boundary Value Problems
Abstract and Applied Analysis, 2014 A numerical method is proposed by wavelet-Galerkin and quasilinearization approach for nonlinear boundary value problems. Quasilinearization technique is applied to linearize the nonlinear differential equation and then wavelet-Galerkin method is ...
Umer Saeed, Mujeeb ur Rehman
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Mathematics, 2022 This article is concerned with the numerical solution of three-dimensional elliptic partial differential equations (PDEs) using the trivariate spectral collocation approach based on the Kronecker tensor product.
Musawenkhosi Patson Mkhatshwa +1 more
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Assessment of Haar Wavelet-Quasilinearization Technique in Heat Convection-Radiation Equations
Applied Computational Intelligence and Soft Computing, 2014 We showed that solutions by the Haar wavelet-quasilinearization technique for the two problems, namely, (i) temperature distribution equation in lumped system of combined convection-radiation in a slab made of materials with variable thermal conductivity
Umer Saeed, Mujeeb ur Rehman
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Advances in Mathematical Physics, 2021 In this paper, the boundary value inverse problem related to the generalized Burgers–Fisher and generalized Burgers–Huxley equations is solved numerically based on a spline approximation tool. B-splines with quasilinearization and Tikhonov regularization
Javad Alavi, Hossein Aminikhah
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