[PDF] Top 20 The Application of Homotopy Analysis Method to Non-linear Reaction Diffusion System

... It has been shown by him that if we choose the value of the auxiliary parameter as -1, the value of the auxiliary function as 1, then the solution expressions are same as provided by homotopy perturbation ... See full document

... powerful analysis method, namely the homotopy analysis method [HAM], for solving linear and non-linear differential and integral ...many non-linear ... See full document

... of homotopy in topology combined with the traditional perturbation method for the solution of non linear equations, but contrary to the traditional perturbation methods, HAM doesn’t need a ... See full document

... The homotopy analysis method (HAM) was proposed by Liao in His works ...this method has been successfully em- ployed to solve many types of linear or non-linear, ... See full document

... of non-linear reaction equations con- taining non-linear terms related to enzymatic re- action mechanism are solved using Homotopy perturbation ...sionless reaction ... See full document

... Abstract: In this paper, a mathematical model for immobilized  -chymotrypsin under kinetic control steady-state conditions is discussed. The model is based on diffusion equations containing a ... See full document

... enzyme system that follow the Michaelis-Menten mechanism for both reversible and irreversible reactions are ...the diffusion equations containing the non- linear term related to ... See full document

... is Homotopy Perturbation Method (HPM) to solve linear and nonlinear partial differential ...this method provides an analytical or exact ...this method to get most accurate solution of a ... See full document

... analytical method for non-linear problems, namely the Homotopy analysis ...This method provides an analytical solution in terms of an infinite power ...the Homotopy ... See full document

... perturbation method is used for solving oscillator differential equation, which yields the Maclaurin series of the exact ...the analysis component of the system like vibration amplitude control, ... See full document

... the non steady state model of a microdisk enzyme based biosensor where the enzyme reacts directly on the electrode ...on diffusion equation containing a non-linear term related to ... See full document

... highly non-linear shape spaces and it can be difficult to determine a compact set of modes of ...the application, one approach is to combine rigid shape models together with parametric ... See full document

... quicker analysis with high specificity for biosensors ...on reaction-diffusion equations including none-linear terms that relate to non-Michaelis-Mentenkinetics of the enzy- matic ... See full document

... perturbation method is involved many non linear problems in Engineering sciences and Applied sciences [4, ...This Homotopy perturbation method is used in diffusion equation, ... See full document

... Pharmacological and physiological experiments are be- ing increasingly performed on thin vital tissue prepara- tions known as slices. Oxygen diffusion for spherical cells in tissue preparations with ... See full document

... Perturbation Method” (HPM) to solve the non-linear reaction ...using Homotopy Perturbation Method for all values of dimensionless reaction diffusion parameters a 1 ... See full document

... Nowadays, photographs and videos are the ways for making the security system illiterate. Security is very essential in every sector..From decades usually thumb is used for the biometric purpose. Now face is also ... See full document

... the application areas were compressible flow problems such as aeroelastics ...ALE-SFEM method is the ability to accommodate arbitrary mesh movements which are not necessarily ...the method with fewer ... See full document

... paper, linear and non-linear Fredholm Integro-Differential Equations with initial conditions are ...to linear and non-linear Fredholm Integro-Differential Equations, this paper ... See full document

... Horseradish peroxidase (HRP) is an intensively used enzyme in biochemical and medical analyses. It is also proposed for waste water processing .A bioprocess monitoring method based on co-oxidation of ... See full document