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New Approach of Homotopy Perturbation Method for Solving the Equations in Enzyme Biochemical Systems
Applied and Computational Mathematics
Volume 6, Issue 3, June 2017, Pages: 161-166
Received: Mar. 31, 2017; Accepted: Apr. 17, 2017; Published: Jun. 27, 2017
Authors
Kurunatha Perumal Thevar Vijayan Preethi, Department of Mathematics, E. M. G. Yadava Women’s College, Madurai, Tamilnadu, India
Lakshmanan Rajendran, Department of Mathematics, Sethu Institute of Technology, Kariyapatty, Tamilnadu, India
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Abstract
In this paper, new homotopy perturbation method (iteration scheme) will be employed to solve the nonlinear dynamical problems that arise in thin membrane kinetics. More precisely, the method will be used to mathematically model and solve the kinetics of the thin membrane. A main property that makes the proposed method superior to other iterative methods is the way it handles boundary value problems, where both mixed Dirichlet and Neumann boundary conditions are taken into consideration, while other iterative methods only make account of the initial point and as a result, the approximate solution may deteriorate for values that are far away from the initial point and closer to the other endpoint. Our analytical results are compared with numerical solution. The method is found to be easily implemented, fast, and computationally economical and attractive.
Keywords
Mathematical Modelling, Thin Membrane, Enzyme Kinetics, Homotopy Perturbation Method
Kurunatha Perumal Thevar Vijayan Preethi, Rajaram Poovazhaki, Lakshmanan Rajendran, New Approach of Homotopy Perturbation Method for Solving the Equations in Enzyme Biochemical Systems, Applied and Computational Mathematics. Vol. 6, No. 3, 2017, pp. 161-166. doi: 10.11648/j.acm.20170603.14
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