[PDF] Top 20 Homotopy Perturbation Method for Solving a Spatially Flat FRW Cosmological Model

... tensively studied over a number of years and successfully developed by numerous authors (e.g. [7-26] to mention only a few). As well known, this method is a combina- tion of homotopy in topology and classic ... See full document

... nonlinear model that describes many physical ...decomposition method Hashim, Noorani, ...the homotopy perturbation method Sweilam, Khader (2009), Jafari, Aminataei (2010), (2011), the ... See full document

... paper, homotopy perturbation method is applied to solve moving boundary and isoperimetric ...This method does not depend upon a small parameter in the equation, homotopy is constructed ... See full document

... The homotopy perturbation method introduced first by the Chinese researcher ...for solving differential and integral equations, linear and nonlinear has been the subject of extensive ... See full document

... in solving nonlinear differential equations may increase the ...and homotopy perturbation ...for solving both linear and nonlinear differential ...Laplace homotopy perturbation ... See full document

... this Method are presented in order to decrease the volume of calculations [19, 3, 20] and increase the rapid convergence and accuracy of calculation series ...of homotopy perturba- tion transform ... See full document

... can model many phenomena in different fields of science and engineering in order to present their behaviors and effects by mathematical ...Iteration method (VIM) and Homotopy perturbation ... See full document

... He’s Homotopy perturbation method of solving linear and non-linear Fredholm Integro-Differential Equation and conducted a comparative study between He’s Homotopy perturbation ... See full document

... the homotopy perturbation method (HPM) [1, 7] in nonlinear problems has been developed by scientists and engineers, because this method continuously deforms the difficult problem under study ... See full document

... modified homotopy perturbation meth- ...improved homotopy perturbation method for solv- ing Fredholm type integro-differential ...modified homotopy perturbation method ... See full document

... modified homotopy perturbation method was successfully used for solving Fisher’s equation with time-fractional derivative, and the classical HPM has been used for solving Fisher’s ... See full document

... (9) where p and ρ are pressure and density, respectively. For solving equations (7)-(9), we must apply boundary conditions (equations (5) and (6)). Other boundary conditions are no lateral velocity and pressure ... See full document

... [15] Rasedee, A., Abdul Sathar, M., Deraman, F., Ijam, H., Suleiman, M., Saaludin, N. and Rakhimov A. (2016) 2 Point Block Backward Difference Method for Solving Riccati Type Differential Problems. AIP ... See full document

... paper, Homotopy perturbation method is used to find the approximate solution of the optimal control of linear ...this method the initial approximations are freely chosen, and a Homotopy ... See full document

... new Homotopy Perturbation Method (HPM) is introduced to obtain exact solutions of the systems of integral equations-differential and is provided examples for the accuracy of this ...new method ... See full document

... The homotopy perturbation method (HPM) was first proposed by the Chinese mathematician Ji-Huan He ...the homotopy perturbation method leads to an analytical approximate and exact ... See full document

... study, homotopy perturbation method is used for solving the problem of co-and counter current imbibition of water into a single matrix block to find the water saturation in a matrix block when ... See full document

... The homotopy perturbation method (HPM) was also investigated by many researchers to handle partial differential equations arising in science and engineering [20] ...a method is homotopy ... See full document

... the homotopy perturbation method, such as the variational homotopy perturbation method, which is a combination of the variational iteration method and the homotopy ... See full document

... the homotopy perturbation method (HPM) [1-23], variational iteration method (VIM) and Adomian decomposition method (ADM) ...standard homotopy and perturbation methods, the ... See full document