Results 31 to 40 of about 3,812 (235)
Numerical solution of a malignant invasion model using some finite difference methods
Demonstratio Mathematica, 2023 In this article, one standard and four nonstandard finite difference methods are used to solve a cross-diffusion malignant invasion model. The model consists of a system of nonlinear coupled partial differential equations (PDEs) subject to specified ...
Appadu Appanah Rao +1 more
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Faber-Schauder Wavelet Sparse Grid Approach for Option Pricing with Transactions Cost
Abstract and Applied Analysis, 2014 Transforming the nonlinear Black-Scholes equation into the diffusion PDE by introducing the log transform of S and (T−t)→τ can provide the most stable platform within which option prices can be evaluated.
Shu-Li Mei
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On the C ∞ Wave-Front Set of Solutions of First-Order Nonlinear PDE's [PDF]
Proceedings of the American Mathematical Society, 1995 Let Ω ⊂
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Differential games and nonlinear first order PDE on bounded domains
Manuscripta Mathematica, 1984 This paper studies the fully nonlinear first order partial differential equation \(u+H(x,Du)=0\) in a bounded domain \(\theta\) with \(u=g\) on the boundary of \(\theta\) using the connection between viscosity solutions and differential games or control theory. Here the control problem involves the exit time from the domain.
Evans, L.C., Ishii, H.
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Formal solutions of nonlinear first order totally characteristic type PDE with irregular singularity [PDF]
Annales de l'Institut Fourier, 2001 In this paper, we calculate the formal Gevrey index of the formal solution of a class of nonlinear first order totally characteristic type partial differential equations with irregular singularity in the space variable. We also prove that our index is the best possible one in a generic case.
Chen, Hua +2 more
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A Study on Effects of Thermal Radiative Dissipative MHD Non-Newtonian Nanofluid above an Elongating Sheet in Porous Medium [PDF]
Journal of Applied and Computational Mechanics, 2023 In this article, the ways where thermal radiation, besides other sources of heat, influence the magnetohydrodynamic stream of a Jeffery nanofluid across a widening sheet is investigated.
Modalavalasa Harish +3 more
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Applied Sciences, 2022 This paper proposes a numerical scheme for solving linear and nonlinear differential equations obtained from the mathematical modeling of a flow phenomenon. The scheme is constructed on two grid points.
Yasir Nawaz +2 more
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Gevrey micro-regularity for solutions to first order nonlinear PDE
Journal of Differential Equations, 2009 In this interesting paper, the authors study the microlocal Gevrey regularity of \(C^2\) solutions to a first-order nonlinear PDE. More precisely, let \(f=f(x,t,\zeta_0,\zeta)\) be Gevrey of order \(s>1\) and holomorphic in the variables \((\zeta_0,\zeta)\). Consider a solution \(u\in C^2\) to \(u_t=f(x,t,u,u_x)\).
Barostichi, R.F., Petronilho, G.
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The Space–Time Kernel-Based Numerical Method for Burgers’ Equations
Mathematics, 2018 It is well known that major error occur in the time integration instead of the spatial approximation. In this work, anisotropic kernels are used for temporal as well as spatial approximation to construct a numerical scheme for solving nonlinear Burgers ...
Marjan Uddin, Hazrat Ali
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AIP Advances, 2023 In the current analysis, the steady and incompressible magnetohydrodynamics hybrid nanofluid (hnf) flow across two spinning permeable surfaces is studied. The hybrid nanoliquid has been examined under the additional effects of heat source, magnetic field,
F. M. Allehiany +4 more
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