Browsing Research Articles (Mathematics and Applied Mathematics) by UP Author "Djoko, J.K. (Jules Kamdem)"
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Browsing Research Articles (Mathematics and Applied Mathematics) by UP Author "Djoko, J.K. (Jules Kamdem)"
Now showing items 1-20 of 23
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Analysis of a time implicit scheme for the Oseen model driven by nonlinear slip boundary conditions Djoko, J.K. (Jules Kamdem); Lubuma, Jean M.-S. (Springer, 2016-12)This work is concerned with the time discrete analysis of the Oseen system of equations driven by nonlinear slip boundary conditions of friction type. We study the existence of solutions of the time discrete model and ...
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Appadu, A. Rao; Djoko, J.K. (Jules Kamdem); Gidey, H.H.; Lubuma, Jean M.-S. (Springer, 2017-04)In this work, four finite volume methods have been constructed to solve the 2D convective Cahn–Hilliard equation with specified initial condition and periodic boundary conditions. We prove existence and uniqueness of ...
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Djoko, J.K. (Jules Kamdem); Razafimandimby, Paul Andre (Taylor and Francis, 2014)In this work, we study Brinkman-Forchheimer equations driven under slip boundery conditions of friction type. We prove the existence and uniqueness of weak solutions by means of regularization combined with the Faedo-Galerkin ...
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Appadu, A. Rao; Djoko, J.K. (Jules Kamdem); Gidey, H.H. (American Institute of Physics, 2017)In this work, three finite difference methods have been used to solve a three dimensional advection-diffusion equation with given initial and boundary conditions. The three methods are fourth order finite difference method, ...
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Appadu, A. Rao; Djoko, J.K. (Jules Kamdem); Gidey, H.H. (Elsevier, 2016-01)Three numerical methods have been used to solve two problems described by advection-diffusion equations with specified initial and boundary conditions. The methods used are the third order upwind scheme [4], fourth ...
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Djoko, J.K. (Jules Kamdem) (Taylor and Francis, 2017-04)This work is concerned with the nonconforming finite approximations for the Stokes and Navier-Stokes equations driven by slip boundary condition of “friction” type. It is well documented that if the velocity is approximated ...
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Aderogba, Adebayo Abiodun; Chapwanya, Michael; Djoko, J.K. (Jules Kamdem); Lubuma, Jean M.-S. (Taylor and Francis, 2016)The Schrödinger equation is a model for many physical processes in quantum physics. It is a singularly perturbed differential equation where the presence of the small reduced Planck’s constant makes the classical numerical ...
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Djoko, J.K. (Jules Kamdem) (Taylor & Francis, 2013)This work is concerned with the discontinuous Galerkin nite approxima- tions for the steady Stokes equations driven by slip boundary condition of \friction" type. Assuming that the ow region is a bounded, convex domain ...
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Djoko, J.K. (Jules Kamdem); Reddy, B. Dayanand, 1953- (World Scientific, 2012-01)We consider a set of equations governing the behaviour of a polymer melt which is modelled as a viscoelastic fluid possessing a natural, or stress-free state. The natural configuration is characterized through a symmetric, ...
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Djoko, J.K. (Jules Kamdem); Mbehou, M. (Institute for Scientific Computing and Information, 2013)This paper is devoted to the study of finite element approximations of variational inequalities with a special nonlinearity coming from boundary conditions. After re-writing the problems in the form of variational ...
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Djoko, J.K. (Jules Kamdem); Mbehou, Mohamed (De Gruyter, 2015-08)In this work, we are concerned with the finite element approximation for the stationary power law Stokes equations driven by nonlinear slip boundary conditions of ‘friction type’. After the formulation of the problem as ...
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Djoko, J.K. (Jules Kamdem); Konlack Socgnia, V.; Mbehou, M. (Elsevier, 2018-12)We study two iterative schemes for the finite element approximation of the heat equation coupled with Stokes flow under nonlinear slip boundary conditions of friction type. The iterative schemes are based on Uzawa’s algorithm ...
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Djoko, J.K. (Jules Kamdem); Koko, Jonas (Elsevier, 2016-06)In this article, we discuss the numerical solution of the Stokes and Navier-Stokes equations completed by nonlinear slip boundary condi- tions of friction type in two and three dimensions. To solve the Stokes system, ...
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Aderogba, Adebayo Abiodun; Chapwanya, Michael; Djoko, J.K. (Jules Kamdem) (Emerald, 2014)PURPOSE – For a partial differential equation with a fourth-order derivative such as the Cahn-Hilliard equation, it is always a challenge to design numerical schemes that can handle the restrictive time step introduced ...
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Djoko, J.K. (Jules Kamdem); Lubuma, Jean M.-S.; Mbehou, M. (Springer, 2016-12)In this work, we study the penalty finite element approximation of the stationary power law Stokes problem. We prove uniform convergence of the finite element solution with respect to the penalized parameter under classical ...
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Djoko, J.K. (Jules Kamdem) (Institute for Scientific Computing and Information, 2014)This work is concerned with the numerical approximation of the unsteady Stokes flow of a viscous incompressible fluid driven by a threshold slip boundary condition of friction type. The continuous problem is formulated ...
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Deugoue, Gabriel; Djoko, J.K. (Jules Kamdem) (Elsevier, 2011-02)In this work, we analyze the discrete in time 3D system for the globally modified Navier–Stokes equations introduced by Caraballo (2006) [1]. More precisely, we consider the backward implicit Euler scheme, and prove the ...
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Djoko, J.K. (Jules Kamdem); Koko, Jonas; Kucera, Radek (Wiley, 2019-03)For the power law Stokes equations driven by nonlinear slip boundary conditions of friction type, we propose three iterative schemes based on augmented Lagrangian approach and interior point method to solve the finite element ...
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A priori analysis of multilevel finite volume approximation of 1D convective Cahn–Hilliard equation Appadu, A. Rao; Djoko, J.K. (Jules Kamdem); Gidey, H.H. (Springer, 2017-12)In this work, we analyze four finite volume methods for the nonlinear convective Cahn–Hilliard equation with specified initial condition and periodic boundary conditions. The methods used are: implicit one-level, explicit ...
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A priori error analysis for Navier Stokes equations with slip boundary conditions of friction type Djoko, J.K. (Jules Kamdem) (Springer, 2019-03)The time dependent Navier Stokes equations under nonlinear slip boundary conditions are discretized by backward Euler scheme in time and finite elements in space. We derive error estimates for the semi-discrete problems. ...
Now showing items 1-20 of 23