Yazar "Merdan, M." için listeleme
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Analytical approximate solutions of fractionel convection-diffusion equation with modified Riemann-Liouville derivative by means of fractional variational iteration method
Merdan, M. (Springer International Publishing Ag, 2013)In this article, an analytical approximate solution of nonlinear fractional convection-diffusion with modified Riemann-Liouville derivative was obtained with the help of fractional variational iteration method (FVIM). A ... -
An approximate solution of a model for HIV infection of CD4(+) T cells
Merdan, M.; Gokdogan, A.; Erturk, V. S. (Springer International Publishing Ag, 2011)In this paper, the approximate solution of the differential system modeling HIV infection of CD4(+) T cells is obtained by a reliable algorithm based on an adaptation of the standard variational iteration method (VIM), ... -
Coupling of homotopy perturbation, Laplace transform and Padé approximants for nonlinear oscillatory systems
Merdan, M.; Yildirim, A.; Gökdogan, A.; Mohyud Din, S.T. (2012)In this article, homotopy perturbation method coupled with Laplace transform and Padé 0approximants is applied on the re-formulated nonlinear oscillatory systems. Numerical results and graphical represenations explicitly ... -
A multistage variational iteration method for approximateanalytic solution of avian-human influenza epidemic model
Gökdo?an, A.; Merdan, M.; Ertürk, V.S. (2012)In this paper, the approximate solution of avian-human influenza epidemic model is obtained by a reliable algorithm based on an adaptation of the standard variational iteration method (VIM), which is called the multi-stage ... -
Numerical Approximations to the Solution of Ray Tracing through the Crystalline Lens
Yildirim, A.; Gokdogan, A.; Merdan, M.; Lakshminarayanan, V. (Iop Publishing Ltd, 2012)An approximate analytical solution in the form of a rapidly convergent series for tracing light rays through an inhomogeneous graded index medium is developed, using the multi-step differential transform method based on ... -
On the solutions fractional Riccati differential equation with modified Riemann-Liouville derivative
Merdan, M. (2012)Fractional variational iteration method (FVIM) is performed to give an approximate analytical solution of nonlinear fractional Riccati differential equation. Fractional derivatives are described in the Riemann-Liouville ... -
On the solutions of time-fractio3nal generalized hirota-satsuma coupled-KDV equation with modified riemann-liouville derivative by an analytical technique
Merdan, M. (Editura Academiei Romane, 2015)In this paper, the fractional variational iteration method (FVIM) was implemented to solve timefractional generalized Hirota-Satsuma coupled-KDV equation with modified Riemann-Liouville derivative. A new application of ... -
The performance of wong-zakai approximations for the investigation of stochastic differential equation models with nonlinear multiplicative noise
Sengul, S.; Bekiryazici, Z.; Merdan, M. (Comenius University in Bratislava, 2021)In this study, Wong-Zakai approximation method has been applied for the analysis of stochastic differential equations appearing in engineering sciences. Wong-Zakai approximation has been used with similar stochastic ... -
THE PERFORMANCE OF WONG-ZAKAI APPROXIMATIONS FOR THE INVESTIGATION OF STOCHASTIC DIFFERENTIAL EQUATION MODELS WITH NONLINEAR MULTIPLICATIVE NOISE
Sengul, S.; Bekiryazici, Z.; Merdan, M. (Comenius Univ, 2021)In this study, Wong-Zakai approximation method has been applied for the analysis of stochastic differential equations appearing in engineering sciences. Wong-Zakai approximation has been used with similar stochastic ...