Search Results - Perturbation-iteration algorithm

New Perturbation–Iteration Algorithm for Nonlinear Heat Transfer of Fractional Order by Abdel Aal, Mohammad

“… A new perturbation iteration algorithm (PIA) of the fractional order is applied to solve the nonlinear heat equations…”
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Forecasting the behaviour of fractional Black-Scholes option pricing equation by laplace perturbation iteration algorithm by Khan, Fareeha Sami, Sultana, Mariam, Khalid, Muhammad, Zaidi, Faheem, Nonlaopon, Kamsing

“… In the current work, a method called the Laplace Perturbation Iteration Algorithm is being applied on Fractional Black…”
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New perturbation–iteration solutions for Bratu-type equations by Aksoy, Yiğit, Pakdemirli, Mehmet

“… Different perturbation–iteration algorithms depending upon the number of Taylor expansion terms are proposed…”
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Comparison of two reliable methods to solve fractional Rosenau‐Hyman equation by Senol, Mehmet, Tasbozan, Orkun, Kurt, Ali

“…‐iteration algorithm (PIA), are used to obtain approximate solutions of the model. The fractional derivative is taken in the Caputo sense…”
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On the comparison of perturbation-iteration algorithm and residual power series method to solve fractional Zakharov-Kuznetsov equation by Şenol, Mehmet, Alquran, Marwan, Kasmaei, Hamed Daei

“… Basic definitions of fractional derivatives are described in the Caputo sense. Perturbation-iteration algorithm (PIA…”
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Perturbation-Iteration Algorithm for Solving Heat and Mass Transfer in the Unsteady Squeezing Flow between Parallel Plates by Abdul-Sattar Al-Saif, Assma Harfash

“…In this paper, heat and mass transfer in the unsteady squeezing flow between parallel plates is analyzed using a perturbation-iteration algorithm…”
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Numerical Solution of Pantograph-Type Delay Differential Equations Using Perturbation-Iteration Algorithms by Bahsi, M. Mustafa, Cevik, Mehmet

“… The present study introduces a compound technique incorporating the perturbation method with an iteration algorithm to solve numerically the delay differential equations of pantograph type…”
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New solutions of fractional Drinfeld-Sokolov-Wilson system in shallow water waves by Tasbozan, Orkun, Şenol, Mehmet, Kurt, Ali, Özkan, Ozan

“… We also present an analytical-approximate method namely perturbation-iteration algorithm (PIA) for the system…”
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Solving Linear Schrodinger Equation through Perturbation Iteration Transform Method by Akinlabi, Grace O, Edeki, Sunday O

“…This paper applies Perturbation Iteration Transform Method: a combined form of the Perturbation Iteration Algorithm and the Laplace Transform Method to linear…”
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Review of the New Perturbation-Iteration Method by Pakdemirli, Mehmet

“…The new perturbation iteration method developed by Pakdemirli and co- workers are reviewed…”
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Approximate solution of time-fractional fuzzy partial differential equations by Senol, Mehmet, Atpinar, Sevda, Zararsiz, Zarife, Salahshour, Soheil, Ahmadian, Ali

“…In this study, we develop perturbation–iteration algorithm (PIA) for numerical solutions of some types of fuzzy fractional partial differential equations (FFPDEs…”
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Application of the perturbation iteration method to boundary layer type problems by Pakdemirli, Mehmet

“…The recently developed perturbation iteration method is applied to boundary layer type singular problems for the first time…”
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Two Reliable Methods for The Solution of Fractional Coupled Burgers’ Equation Arising as a Model of Polydispersive Sedimentation by Kurt, Ali, Şenol, Mehmet, Tasbozan, Orkun, Chand, Mehar

“… Then we apply a semi-analytical method namely perturbation-iteration algorithm (PIA) to obtain some approximate solutions…”
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On the Solution of the Cahn-Hilliard Equation via the Perturbation Iteration Transform Method by Akinlabi, Grace O, Edeki, Sunday O

“… This approach is based on the fusion of the Perturbation Iteration Algorithm and the Laplace Transform Method…”
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Applying the natural transform iterative technique for fractional high-dimension equations of acoustic waves by Zada, Laiq, Ali, Nasir, Nawaz, Rashid, Jamshed, Wasim, Eid, Mohamed R., Tag El Din, El Sayed M., Khalifa, Hamiden Abd El- Wahed, ElSeabee, Fayza Abdel Aziz

“…–iteration algorithm (PIA) method and residual power series method (RPSM). From the numerical results, it is clear that the method handles non-linear differential…”
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A New Perturbation-Iteration Approach for First Order Differential Equations by Pakdemirli, Mehmet, Aksoy, Yiğit, Boyacı, Hakan

“…Two new perturbation-iteration algorithms for solving differential equations of first order are proposed…”
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New Analytical Study of Non-Newtonian Jeffery Hamel Flow of Casson Fluid in Divergent and Convergent Channels by Perturbation Iteration Algorithm by Jasim, Abeer Majeed

“…Perturbation iteration algorithm (PIA) is used to solve Jeffery Hamel flow problem of non-Newtonian fluid which is Casson fluid (JHFCF…”
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Optimal perturbation iteration method for solving fractional FitzHugh-Nagumo equation by Deniz, Sinan

“…•The optimal perturbation iteration algorithms have been adapted accordingly for solving the fractional model…”
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On the Comparison of Perturbation-Iteration Algorithm and Residual Power Series Method to Solve Fractional Zakharov-Kuznetsov Equation by Senol, Mehmet, Hamed Daei Kasmaei

“…In this paper, we present analytic-approximate solution of a fractional Zakharov-Kuznetsov equation by means of perturbation-iteration algorithm (PIA…”
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Optimal perturbation iteration technique for solving nonlinear Volterra‐Fredholm integral equations by Deniz, Sinan

“…‐Fredholm integral equations. The classical form of the optimal perturbation iteration method is modified, and new algorithms are constructed for integral equations…”
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