Výsledky vyhledávání - Perturbation-iteration algorithm
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New Perturbation–Iteration Algorithm for Nonlinear Heat Transfer of Fractional Order
ISSN: 2504-3110, 2504-3110Vydáno: Basel MDPI AG 01.06.2024Vydáno v Fractal and fractional (01.06.2024)“… 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
ISSN: 1110-0168Vydáno: Elsevier B.V 01.01.2023Vydáno v Alexandria engineering journal (01.01.2023)“… 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
ISSN: 0898-1221, 1873-7668Vydáno: Elsevier Ltd 01.04.2010Vydáno v Computers & mathematics with applications (1987) (01.04.2010)“… 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
ISSN: 0170-4214, 1099-1476Vydáno: Freiburg Wiley Subscription Services, Inc 15.07.2021Vydáno v Mathematical methods in the applied sciences (15.07.2021)“…‐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
ISSN: 2211-3797, 2211-3797Vydáno: Elsevier B.V 01.06.2018Vydáno v Results in physics (01.06.2018)“… 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
ISSN: 2383-4536, 2383-4536Vydáno: Shahid Chamran University of Ahvaz 01.06.2019Vydáno v Journal of applied and computational mechanics (01.06.2019)“…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
ISSN: 1110-757X, 1687-0042Vydáno: Cairo, Egypt Hindawi Limiteds 2015Vydáno v Journal of Applied Mathematics (2015)“… 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
ISSN: 0029-8018, 1873-5258Vydáno: Elsevier Ltd 01.08.2018Vydáno v Ocean engineering (01.08.2018)“… 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
ISSN: 2078-0958, 2078-0966Vydáno: Hong Kong International Association of Engineers 05.07.2017Vydáno v Lecture notes in engineering and computer science (05.07.2017)“…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
ISSN: 2297-8747, 2297-8747Vydáno: 01.12.2013Vydáno v Mathematical and computational applications (01.12.2013)“…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
ISSN: 2238-3603, 1807-0302Vydáno: Cham Springer International Publishing 01.03.2019Vydáno v Computational & applied mathematics (01.03.2019)“…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
ISSN: 2193-1801, 2193-1801Vydáno: Cham Springer International Publishing 29.02.2016Vydáno v SpringerPlus (29.02.2016)“…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
ISSN: 2444-8656, 2444-8656Vydáno: Beirut Sciendo 01.07.2019Vydáno v Applied mathematics and nonlinear sciences (01.07.2019)“… 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
ISSN: 2078-0958, 2078-0966Vydáno: Hong Kong International Association of Engineers 05.07.2017Vydáno v Lecture notes in engineering and computer science (05.07.2017)“… 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
ISSN: 2296-598X, 2296-598XVydáno: Frontiers Media S.A 03.11.2022Vydáno v Frontiers in energy research (03.11.2022)“…–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
ISSN: 2297-8747, 2297-8747Vydáno: 01.12.2011Vydáno v Mathematical and computational applications (01.12.2011)“…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
ISSN: 2664-8288, 2664-8296Vydáno: 30.04.2021Vydáno v BASRA JOURNAL OF SCIENCE (30.04.2021)“…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
ISSN: 0960-0779, 1873-2887Vydáno: Elsevier Ltd 01.01.2021Vydáno v Chaos, solitons and fractals (01.01.2021)“…•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
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 26.08.2017Vydáno v arXiv.org (26.08.2017)“…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
ISSN: 0170-4214, 1099-1476Vydáno: Freiburg Wiley Subscription Services, Inc 15.09.2024Vydáno v Mathematical methods in the applied sciences (15.09.2024)“…‐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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