Results 31 to 40 of about 88,453 (147)
On numerical methods for one problem of mixed type
Mathematical Modelling and Analysis, 2001 This article is devoted to further investigation of numerical methods for one differential problem of mixed type. We consider a two‐dimensional first‐order differential equation with one complex‐valued and one real constant coefficients.
S. Sytova
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Self-similar shock wave solutions of the non-linear Maxwell equations
, 2014 In our study we consider nonlinear, power-law field-dependent electrical permitivity and magnetic permeability and investigate the time-dependent Maxwell equations with the self-similar Ansatz.
Barna, I. F.
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Nonlinear monotonization of the Babenko scheme for the quasi‐linear advection equation
Mathematical Modelling and Analysis, 2005 The paper is devoted to construction and development of new method for numerical solution of hyperbolic type equations [14, 17]. In the previous papers [4, 5, 6, 7, 8, 9] authors have investigated theoretically and tested experimentally 26 different ...
T. A. Alexandrikova, M. P. Galanin
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Blow-up for solutions of hyperbolic PDE and spacetime singularities [PDF]
, 2000 An important question in mathematical relativity theory is that of the nature of spacetime singularities. The equations of general relativity, the Einstein equations, are essentially hyperbolic in nature and the study of spacetime singularities is ...
Rendall, Alan D.
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A parabolic-hyperbolic free boundary problem modeling tumor growth with drug application
Electronic Journal of Differential Equations, 2010 In this article, we study a free boundary problem modeling the growth of tumors with drug application. The model consists of two nonlinear second-order parabolic equations describing the diffusion of nutrient and drug concentration, and three ...
Ji-Hong Zhao
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Filtration in porous rock with initial deposit [PDF]
E3S Web of Conferences, 2019 The problems of underground fluid mechanics play an important role in the design and preparation for the construction of tunnels and underground structures. To strengthen the insecure soil a grout solution is pumped under pressure in the porous rock. The
Osipov Yuri, Galaguz Yuri
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Very High Order $\PNM$ Schemes on Unstructured Meshes for the Resistive Relativistic MHD Equations
, 2009 In this paper we propose the first better than second order accurate method in space and time for the numerical solution of the resistive relativistic magnetohydrodynamics (RRMHD) equations on unstructured meshes in multiple space dimensions.
Dumbser, Michael, Zanotti, Olindo
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Existence of bounded solutions for nonlinear hyperbolic partial differential equations
Electronic Journal of Differential Equations, 2015 In this article we first establish a new representation formula for bounded solutions to a class of nonlinear second-order hyperbolic partial differential equations.
Toka Diagana, Mamadou Moustapha Mbaye
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A scaled characteristics method for the asymptotic solution of weakly nonlinear wave equations
Electronic Journal of Differential Equations, 1998 We formulate a multi-scale perturbation technique to asymptotically solve weakly nonlinear hyperbolic equations. The method is based on a set of scaled characteristic coordinates.
Chirakkal V. Easwaran
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International Journal of Mathematics and Mathematical Sciences, 2020 In this article, we utilize the G′/G2-expansion method and the Jacobi elliptic equation method to analytically solve the (2 + 1)-dimensional integro-differential Jaulent–Miodek equation for exact solutions.
Supaporn Kaewta +2 more
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