Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Théodore K. Boni"'
Autor:
Théodore K. Boni, Diabate Nabong
Publikováno v:
Boletim da Sociedade Paranaense de Matemática, Vol 26, Iss 1-2, Pp 19-28 (2008)
In this paper, we consider the following initial value problem:U_i'(t) =sum_{jin B} J_{i-j}(U_j(t) - U_i(t)), t geq 0, iin BU_i(0)=varphi_i >0, iin Bwhere B is a bounded subset of Z^d, p > 1, J_ h = (J_i)_{iinB} is a kernel which is nonnegative, symm
Externí odkaz:
https://doaj.org/article/d9b1b8804f0e4f30959f6042c5edb5ba
Autor:
Firmin K. N'gohisse, Théodore K. Boni
Publikováno v:
Journal of Numerical Analysis and Approximation Theory, Vol 39, Iss 1 (2010)
This paper concerns the study of a semilinear parabolic equation subject to Neumann boundary conditions and positive initial datum. Under some assumptions, we show that the solution of the above problem quenches in a finite time and estimate its quen
Externí odkaz:
https://doaj.org/article/27d77dabddcb47bbac725a40bb64db51
Publikováno v:
Journal of Applied Mathematics, Vol 2008 (2008)
We obtain some conditions under which the positive solution for semidiscretizations of the semilinear equation ut=uxx−a(x,t)f(u), 0
Externí odkaz:
https://doaj.org/article/4c2648849d234297aa733c3fdd1d5b6c
Autor:
Théodore K. Boni, Firmin K. N'gohisse
Publikováno v:
Acta Mathematica Sinica, English Series. 27:845-862
This paper concerns the study of the numerical approximation for the following initialboundary value problem $$ \left\{ \begin{gathered} u_t - u_{xx} = f\left( u \right), x \in \left( {0,1} \right), t \in \left( {0,T} \right), \hfill \\ u\left( {0,t}
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::323af01be220e51e1f7ef26eae8f4f7e
https://doi.org/10.1007/s10114-011-8464-9
https://doi.org/10.1007/s10114-011-8464-9
Publikováno v:
Computational Methods in Applied Mathematics. 9:339-353
This paper concerns the study of the numerical approximation for the following initial-boundary value problem: ut(x, t) = uxx(x, t)− f(u(1/2, t)), (x, t) ∈ (0, 1)× (0, T ), ux(0, t) = 0, ux(1, t) = 0, t ∈ (0, T ), u(x, 0) = u0(x),
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0897426c788f7dd9923c0780f5f9743e
https://doi.org/10.2478/cmam-2009-0022
https://doi.org/10.2478/cmam-2009-0022
Autor:
Diabate Nabongo, Théodore K. Boni
Publikováno v:
Mathematical Modelling and Analysis; Vol 13 No 4 (2008); 521-538
Mathematical Modelling and Analysis, Vol 13, Iss 4 (2008)
Mathematical Modelling and Analysis, Vol 13, Iss 4 (2008)
This paper concerns the study of the numerical approximation for the nonlinear parabolic boundary value problem with the source term leading to the quenching in finite time. We find some conditions under which the solution of a semidiscrete form of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::01ba1d6d31bee669334543aac07b1330
https://doi.org/10.3846/1392-6292.2008.13.521-538
https://doi.org/10.3846/1392-6292.2008.13.521-538
Publikováno v:
Journal of Nonlinear Sciences and Applications. :91-101
In this paper, we consider the following initial-boundary value problem 8 > > utt(x;t) = "Lu(x;t) + b(t)f(u(x;t)) in › £ (0;T), u(x;t) = 0 on @› £ (0;T), u(x;0) = 0 in ›; ut(x;0) = 0 in ›; where " is a positive parameter, b 2 C 1 (R+), b(t)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6072f088f44931215b3440e26a44a46d
https://doi.org/10.22436/jnsa.001.02.05
https://doi.org/10.22436/jnsa.001.02.05
Autor:
Diabate Nabongo, Théodore K. Boni
Publikováno v:
Communications in Analysis and Geometry. 16:865-882
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::72b5015ec19e4ba8ab5391da4d95ed1d
https://doi.org/10.4310/cag.2008.v16.n4.a6
https://doi.org/10.4310/cag.2008.v16.n4.a6
Autor:
Diabate Nabongo, Théodore K. Boni
Publikováno v:
Asymptotic Analysis. 59:27-38
We obtain some conditions under which the positive solution of the numerical approximation for the heat equation ut(x, t) = uxx(x, t),x ∈ (0, 1), t > 0, with the singular boundary condition ux(1, t) = −u−β(1, t), where β > 0 quenches in a fin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::079ade35eaa69eb9b38807b19215e2be
https://doi.org/10.3233/asy-2008-0889
https://doi.org/10.3233/asy-2008-0889
Autor:
Théodore K. Boni
Publikováno v:
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. 333:795-800
We obtain some conditions under which solutions for semidiscretizations of semilinear parabolic equations extinct in a finite time and estimate their extinction time. A similar study is also undertaken for full discretizations.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a05032ecf775b1f89491a1d6ab9af373
https://doi.org/10.1016/s0764-4442(01)02078-x
https://doi.org/10.1016/s0764-4442(01)02078-x