Results 31 to 40 of about 234,656 (222)
Critical global asymptotics in higher-order semilinear parabolic equations
International Journal of Mathematics and Mathematical Sciences, 2003 We consider a higher-order semilinear parabolic equation ut=−(−Δ)mu−g(x,u) in ℝN×ℝ+, m>1. The nonlinear term is homogeneous: g(x,su)≡|s|p−1sg(x,u) and g(sx,u)≡|s|Qg(x,u) for any s∈ℝ, with exponents P>1, and Q>−2m.
Victor A. Galaktionov
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Journal of Kufa for Mathematics and Computer, 2013 In this paper we use the higher order differences for second order (derivative)  in solving parabolic partial delay differential equations by using the explicit method and we get results are more closer to the exact values than the results which can ...
Amal Khalaf Haydar
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Universal estimate of the gradient for parabolic equations [PDF]
, 2008 We suggest a modification of the estimate for weighted Sobolev norms of solutions of parabolic equations such that the matrix of the higher order coefficients is included into the weight for the gradient. More precisely, we found the upper limit estimate
Dokuchaev N G +4 more
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Weak convergence of finite element approximations of linear stochastic evolution equations with additive noise II. Fully discrete schemes [PDF]
, 2012 We present an abstract framework for analyzing the weak error of fully discrete approximation schemes for linear evolution equations driven by additive Gaussian noise.
A. Bouard de +25 more
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Multivalued solutions of multidimensional linear equations of heat conduction and rivertons
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2021 Background. The article considers the problem of calculating multivalued solutions of multidimensional linear parabolic equations. Solutions for this type of equations of heat conductivity in dimension d > 2 were not previously known and represent an ...
V.M. Zhuravlev, V.M. Morozov
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Regular polynomial interpolation and approximation of global solutions of linear partial differential equations [PDF]
, 2007 We consider regular polynomial interpolation algorithms on recursively defined sets of interpolation points which approximate global solutions of arbitrary well-posed systems of linear partial differential equations.
Kampen, Joerg
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Static stability of higher order functionally graded beam under variable axial load
Alexandria Engineering Journal, 2020 This article investigates effects of axial load distribution on buckling loads and their modes of functionally graded (FG) beams including a shear effect for the first time, since all previous studies focused on constant axial load.
A. Melaibari +3 more
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Global attractors for a class of semilinear degenerate parabolic equations
Open Mathematics, 2021 In this paper, we consider the long-time behavior for a class of semi-linear degenerate parabolic equations with the nonlinearity ff satisfying the polynomial growth of arbitrary p−1p-1 order.
Zhu Kaixuan, Xie Yongqin
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Journal of Mathematics, 2022 In this paper, a new sixth-order finite difference compact reconstruction unequal-sized weighted essentially nonoscillatory (CRUS-WENO) scheme is designed for solving the nonlinear degenerate parabolic equations on structured meshes.
Liang Li, Yan Zhang, Jun Zhu
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A generalized regularization scheme for solving singularly perturbed parabolic PDEs
Partial Differential Equations in Applied Mathematics, 2022 Many problems in science and engineering can be modeled as singularly perturbed partial differential equations. Solutions to such problems are not generally continuous with respect to the perturbation parameter(s) and hence developing stable and ...
M.P. Rajan, G.D. Reddy
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