Higher-order accurate diffuse-domain methods for partial differential equations with Dirichlet boundary conditions in complex, evolving geometries

Journal of Computational Physics ◽

10.1016/j.jcp.2019.109174 ◽

2020 ◽

Vol 406 ◽

pp. 109174

Author(s):

Fei Yu ◽

Zhenlin Guo ◽

John Lowengrub

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Boundary Conditions ◽

Dirichlet Boundary ◽

Higher Order ◽

Dirichlet Boundary Conditions ◽

Partial Differential

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Lyapunov-type inequalities for partial differential equations with 𝑝-Laplacian

Forum Mathematicum ◽

10.1515/forum-2020-0232 ◽

2021 ◽

Vol 0 (0) ◽

Author(s):

Robert Stegliński

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Boundary Conditions ◽

Dirichlet Boundary ◽

Nonlinear Partial Differential Equations ◽

Dirichlet Boundary Conditions ◽

Partial Differential ◽

Linear Partial Differential Equations ◽

Lyapunov Inequalities ◽

Abstract The aim of this paper is to extend results from [A. Cañada, J. A. Montero and S. Villegas, Lyapunov inequalities for partial differential equations, J. Funct. Anal. 237 (2006), 1, 176–193] about Lyapunov-type inequalities for linear partial differential equations to nonlinear partial differential equations with 𝑝-Laplacian with zero Neumann or Dirichlet boundary conditions.

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Analytical solutions for coupling fractional partial differential equations with Dirichlet boundary conditions

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2017.04.020 ◽

2017 ◽

Vol 52 ◽

pp. 165-176 ◽

Author(s):

Xiao-Li Ding ◽

Juan J. Nieto

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Boundary Conditions ◽

Analytical Solutions ◽

Dirichlet Boundary ◽

Dirichlet Boundary Conditions ◽

Fractional Partial Differential Equations ◽

Partial Differential

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Legendre wavelets method for solving fractional partial differential equations with Dirichlet boundary conditions

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.02.047 ◽

2014 ◽

Vol 234 ◽

pp. 267-276 ◽

Author(s):

M.H. Heydari ◽

M.R. Hooshmandasl ◽

F. Mohammadi

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Boundary Conditions ◽

Dirichlet Boundary ◽

Dirichlet Boundary Conditions ◽

Fractional Partial Differential Equations ◽

Legendre Wavelets ◽

Partial Differential

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Stochastic partial differential equations in bounded domains with Dirichlet boundary conditions

Stochastics and Stochastics Reports ◽

10.1080/10451120290024865 ◽

2002 ◽

Vol 74 (1-2) ◽

pp. 349-370 ◽

Author(s):

S. Bonaccorsi ◽

G. Guatteri

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Boundary Conditions ◽

Stochastic Partial Differential Equations ◽

Dirichlet Boundary ◽

Dirichlet Boundary Conditions ◽

Bounded Domains ◽

Partial Differential

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Solutions of partial differential equations with random Dirichlet boundary conditions by multiquadric collocation method

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2005.07.005 ◽

2005 ◽

Vol 29 (12) ◽

pp. 1124-1129 ◽

Author(s):

Somchart Chantasiriwan

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Boundary Conditions ◽

Collocation Method ◽

Dirichlet Boundary ◽

Dirichlet Boundary Conditions ◽

Partial Differential

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On a Class of Partial Differential Equations with Nonlocal Dirichlet Boundary Conditions

Computational Methods in Applied Sciences - Applied and Numerical Partial Differential Equations ◽

10.1007/978-90-481-3239-3_3 ◽

2009 ◽

pp. 9-23 ◽

Author(s):

Alain Bensoussan ◽

Janos Turi

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Boundary Conditions ◽

Dirichlet Boundary ◽

Dirichlet Boundary Conditions ◽

Partial Differential

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Solving a class of linear partial differential equations with Dirichlet‐boundary conditions by the Adomian method

10.1108/03684920410545270 ◽

2004 ◽

Vol 33 (8) ◽

pp. 1292-1311 ◽

Author(s):

Mohamed Benabidallah ◽

Yves Cherruault

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Boundary Conditions ◽

Dirichlet Boundary ◽

Dirichlet Boundary Conditions ◽

Partial Differential ◽

Linear Partial Differential Equations ◽

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A numerical scheme based on Bernoulli wavelets and collocation method for solving fractional partial differential equations with Dirichlet boundary conditions

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22279 ◽

2018 ◽

Vol 35 (1) ◽

pp. 34-59 ◽

Author(s):

Parisa Rahimkhani ◽

Yadollah Ordokhani

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Boundary Conditions ◽

Collocation Method ◽

Numerical Scheme ◽

Dirichlet Boundary ◽

Dirichlet Boundary Conditions ◽

Fractional Partial Differential Equations ◽

Partial Differential

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L 2-Error bounds for approximate solutions of elliptic partial differential equations with Dirichlet-boundary conditions

Computing ◽

10.1007/bf02241857 ◽

1989 ◽

Vol 43 (2) ◽

pp. 133-140

Author(s):

J. B. Kioustelidis

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Boundary Conditions ◽

Error Bounds ◽

Dirichlet Boundary ◽

Approximate Solutions ◽

Elliptic Partial Differential Equations ◽

Dirichlet Boundary Conditions ◽

Partial Differential

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Globally Positive Solutions of Linear Parabolic Partial Differential Equations of Second Order with Dirichlet Boundary Conditions

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1998.6065 ◽

1998 ◽

Vol 226 (2) ◽

pp. 326-347 ◽

Author(s):

Janusz Mierczyński

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Boundary Conditions ◽

Positive Solutions ◽

Dirichlet Boundary ◽

Second Order ◽

Dirichlet Boundary Conditions ◽

Parabolic Partial Differential Equations ◽

Partial Differential

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