On stability of spline difference scheme for reaction-diffusion time-dependent singularly perturbed problem.
Surla, Katarina, Uzelac, Zorica (2003)
Novi Sad Journal of Mathematics
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Displaying similar documents to “A dual mesh method for a nonlocal thermistor problem.”
On stability of spline difference scheme for reaction-diffusion time-dependent singularly perturbed problem.
Uniform methods for semilinear problems with an attractive boundary turning point.
Linß, Torsten, Vulanović, Relja (2001)
Novi Sad Journal of Mathematics
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On numerical solution of semilinear singular perturbation problems by using the Hermite scheme on a new Bakhalov-type mesh.
Herceg, Dragoslav, Miloradović, Miroljub (2003)
Novi Sad Journal of Mathematics
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Implicit difference methods for quasilinear parabolic functional differential systems.
Kropielnicka, Karolina (2007)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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High-order methods for semilinear singularly perturbed boundary value problems.
Radeka, Ivana, Herceg, Dragoslav (2003)
Novi Sad Journal of Mathematics
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Numerical solutions to the Darboux problem with functional dependence.
Kamont, Z., Leszczyński, H. (1998)
Georgian Mathematical Journal
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Solution to a transmission problem for quasilinear pseudoparabolic equations by the Rothe method.
Bouziani, A., Merazga, N. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Finite difference approximations for nonlinear first order partial differential equations.
Baranowska, Anna, Zdzisław, Kamont (2002)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Cauchy-Neumann problem for a class of nondiagonal parabolic systems with quadratic nonlinearities II. Local and global solvability results
Arina A. Arkhipova (2001)
Commentationes Mathematicae Universitatis Carolinae
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We prove local in time solvability of the nonlinear initial-boundary problem to nonlinear nondiagonal parabolic systems of equations (multidimensional case). No growth restrictions are assumed on generating the system functions. In the case of two spatial variables we construct the global in time solution to the Cauchy-Neumann problem for a class of nondiagonal parabolic systems. The solution is smooth almost everywhere and has an at most finite number of singular points.
-estimates for solutions of nonlinear parabolic systems with gradient linear growth
Wojciech Zajączkowski (1996)
Banach Center Publications
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Existence of weak solutions and an -estimate are shown for nonlinear nondegenerate parabolic systems with linear growth conditions with respect to the gradient. The -estimate is proved for equations with coefficients continuous with respect to x and t in the general main part, and for diagonal systems with coefficients satisfying the Carathéodory condition.