Results 81 to 90 of about 6,797 (118)

A splitting procedure for parabolic equations of higher order

International Journal of Computer Mathematics, 1983
In this paper, the numerical solution of parabolic equations of order n is shown to be easily accomplished by a splitting procedure involving the use of n computational nets.
D.J. Evans, A. Danaee
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On Doubly Degenerate Quasilinear Parabolic Equations of Higher Order

Acta Mathematica Sinica, English Series, 2004
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A Higher-Order Non-autonomous Semilinear Parabolic Equation

Bulletin of the Brazilian Mathematical Society, New Series
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Maykel Belluzi, Flank D. M. Bezerra, Marcelo J. D. Nascimento, Lucas A. Santos   +3 more
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HIGHER-ORDER QUASILINEAR PARABOLIC EQUATIONS WITH SINGULAR INITIAL DATA

Communications in Contemporary Mathematics, 2006
As a basic model, we study the 2mth-order quasilinear parabolic equation of diffusion-absorption type [Formula: see text] where Δm,pis the 2mth-order p-Laplacian [Formula: see text].We consider the Cauchy problem in RN× R+with arbitrary singular initial data u0≠ 0 such that u0(x) = 0 for any x ≠ 0.
Galaktionov, V. A., Shishkov, A. E.
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Self-Similar Blow-Up in Higher-Order Semilinear Parabolic Equations

SIAM Journal on Applied Mathematics, 2004
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C. J. Budd, J. F. Williams, Vladimir A. Galaktionov   +2 more
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On degenerate quasilinear parabolic equations of higher order

Periodica Mathematica Hungarica, 1996
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On higher order parabolic functional differential equations

Periodica Mathematica Hungarica, 1995
The author proves existence of weak solutions of the higher-order parabolic functional differential equation \[ D_tu+\sum_{|\alpha|\leq m}(-1)^{|\alpha|}D^\alpha_x[f_\alpha(t,x,u,\dots, D^\beta_xu,\dots)]+ \sum_{|\alpha|\leq m}(-1)^{|\alpha|}D^\alpha_x[g_\alpha(t,x,u,\dots, D^\gamma_xu,\dots)]+ \] \[ \sum_{|\alpha|\leq m}(-1)^{|\alpha|} \int^t_{t-r}D ...
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Benchmark calculations for higher-order parabolic equations

The Journal of the Acoustical Society of America, 1990
Benchmark solutions generated with parabolic equation (PE) models are presented for range-dependent underwater acoustic propagation problems involving both penetrable and perfectly reflecting ocean bottoms. The solution of the wide-angle PE of Claerbout [J. F. Claerbout, Fundamentals of Geophysical Data Processing (McGraw-Hill, New York, 1976), pp. 206–
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Dissipative mechanism of a semilinear higher order parabolic equation in

Nonlinear Analysis: Theory, Methods & Applications, 2012
It is known that the concept of dissipativeness is fundamental for understanding the asymptotic behavior of solutions to evolutionary problems. In this paper we investigate the dissipative mechanism for some semilinear fourth-order parabolic equations in the spaces of Bessel potentials and discuss some weak conditions that lead to the existence of a ...
Jan W. Cholewa, Anibal Rodriguez-Bernal
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Higher-order operator splitting methods for deterministic parabolic equations

International Journal of Computer Mathematics, 2007
The Sheng-Suzuki theorem states that all exponential operator splitting methods of order greater than 2 must contain negative time integration. There have been claims in the literature that higher-order splitting methods for deterministic parabolic equations are unstable due to this fact.
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