Initial-Boundary Value Problem for the heat equation - A stochastic algorithm [PDF]
Mädälina Deaconu, Samuel Herrmann
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Local existence of solutions and comparison principle for initial boundary value problem with nonlocal boundary condition for a nonlinear parabolic equation with memory [PDF]
Alexander Gladkov
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Chebyshev Wavelet Finite Difference Method: A New Approach for Solving Initial and Boundary Value Problems of Fractional Order [PDF]
A. Kazemi Nasab +3 more
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A characteristic initial boundary value problem for a symmetric positive system [PDF]
Tatsuo Nishitani, Masahiro Takayama
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Computational experiment of the initial-boundary value problem for the reaction-diffusion equation [PDF]
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Positive solutions for nonlinear parabolic second initial boundary value problems [PDF]
C. Y. Chan
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On singular nonlinear distributional and impulsive initial and boundary value problems
Purpose To derive existence and comparison results for extremal solutions of nonlinear singular distributional initial value problems and boundary value problems.
Heikkilä Seppo
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For the damped Boussinesq equation utt−2butxx=−αuxxxx+uxx+β(u2)xx,x∈(0,π),t>0;α,b=const>0,β=const∈R1, the second initial-boundary value problem is considered with small initial data.
Vladimir V. Varlamov
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Acoustic gravity waves: A computational approach [PDF]
This paper discusses numerical solutions of a hyperbolic initial boundary value problem that arises from acoustic wave propagation in the atmosphere. Field equations are derived from the atmospheric fluid flow governed by the Euler equations.
Dutt, P. K., Hariharan, S. I.
core +1 more source
We consider a nonlinear nonlocal parabolic equation ut = Δu + a(x,t)ur∫Ωup(y,t)dy - b(x,t)uq for (x,t) ∈ Ω × (0,+∞) with nonlinear nonlocal boundary condition u(x,t)|∂Ω × (0,+∞) = ∫Ωk(x,y,t)ul(y,t)dy and initial data u(x,0) = u0(x), x ∈ Ω, where r, p, q,
Alexander L. Gladkov +1 more
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