Suchergebnisse - Perturbation-iteration algorithm
-
1
New Perturbation–Iteration Algorithm for Nonlinear Heat Transfer of Fractional Order
ISSN: 2504-3110, 2504-3110Veröffentlicht: Basel MDPI AG 01.06.2024Veröffentlicht in Fractal and fractional (01.06.2024)“… A new perturbation iteration algorithm (PIA) of the fractional order is applied to solve the nonlinear heat equations …”
Volltext
Journal Article -
2
Forecasting the behaviour of fractional Black-Scholes option pricing equation by laplace perturbation iteration algorithm
ISSN: 1110-0168Veröffentlicht: Elsevier B.V 01.01.2023Veröffentlicht in Alexandria engineering journal (01.01.2023)“… In the current work, a method called the Laplace Perturbation Iteration Algorithm is being applied on Fractional Black …”
Volltext
Journal Article -
3
New perturbation–iteration solutions for Bratu-type equations
ISSN: 0898-1221, 1873-7668Veröffentlicht: Elsevier Ltd 01.04.2010Veröffentlicht in Computers & mathematics with applications (1987) (01.04.2010)“… Different perturbation–iteration algorithms depending upon the number of Taylor expansion terms are proposed …”
Volltext
Journal Article -
4
Comparison of two reliable methods to solve fractional Rosenau‐Hyman equation
ISSN: 0170-4214, 1099-1476Veröffentlicht: Freiburg Wiley Subscription Services, Inc 15.07.2021Veröffentlicht in 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 …”
Volltext
Journal Article -
5
On the comparison of perturbation-iteration algorithm and residual power series method to solve fractional Zakharov-Kuznetsov equation
ISSN: 2211-3797, 2211-3797Veröffentlicht: Elsevier B.V 01.06.2018Veröffentlicht in Results in physics (01.06.2018)“… Basic definitions of fractional derivatives are described in the Caputo sense. Perturbation-iteration algorithm (PIA …”
Volltext
Journal Article -
6
Perturbation-Iteration Algorithm for Solving Heat and Mass Transfer in the Unsteady Squeezing Flow between Parallel Plates
ISSN: 2383-4536, 2383-4536Veröffentlicht: Shahid Chamran University of Ahvaz 01.06.2019Veröffentlicht in 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 …”
Volltext
Journal Article -
7
Numerical Solution of Pantograph-Type Delay Differential Equations Using Perturbation-Iteration Algorithms
ISSN: 1110-757X, 1687-0042Veröffentlicht: Cairo, Egypt Hindawi Limiteds 2015Veröffentlicht in 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 …”
Volltext
Journal Article -
8
New solutions of fractional Drinfeld-Sokolov-Wilson system in shallow water waves
ISSN: 0029-8018, 1873-5258Veröffentlicht: Elsevier Ltd 01.08.2018Veröffentlicht in Ocean engineering (01.08.2018)“… We also present an analytical-approximate method namely perturbation-iteration algorithm (PIA) for the system …”
Volltext
Journal Article -
9
Solving Linear Schrodinger Equation through Perturbation Iteration Transform Method
ISSN: 2078-0958, 2078-0966Veröffentlicht: Hong Kong International Association of Engineers 05.07.2017Veröffentlicht in 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 …”
Volltext
Journal Article -
10
Review of the New Perturbation-Iteration Method
ISSN: 2297-8747, 2297-8747Veröffentlicht: 01.12.2013Veröffentlicht in Mathematical and computational applications (01.12.2013)“… The new perturbation iteration method developed by Pakdemirli and co- workers are reviewed …”
Volltext
Journal Article -
11
Approximate solution of time-fractional fuzzy partial differential equations
ISSN: 2238-3603, 1807-0302Veröffentlicht: Cham Springer International Publishing 01.03.2019Veröffentlicht in 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 …”
Volltext
Journal Article -
12
Application of the perturbation iteration method to boundary layer type problems
ISSN: 2193-1801, 2193-1801Veröffentlicht: Cham Springer International Publishing 29.02.2016Veröffentlicht in SpringerPlus (29.02.2016)“… The recently developed perturbation iteration method is applied to boundary layer type singular problems for the first time …”
Volltext
Journal Article -
13
Two Reliable Methods for The Solution of Fractional Coupled Burgers’ Equation Arising as a Model of Polydispersive Sedimentation
ISSN: 2444-8656, 2444-8656Veröffentlicht: Beirut Sciendo 01.07.2019Veröffentlicht in 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 …”
Volltext
Journal Article -
14
On the Solution of the Cahn-Hilliard Equation via the Perturbation Iteration Transform Method
ISSN: 2078-0958, 2078-0966Veröffentlicht: Hong Kong International Association of Engineers 05.07.2017Veröffentlicht in 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 …”
Volltext
Journal Article -
15
Applying the natural transform iterative technique for fractional high-dimension equations of acoustic waves
ISSN: 2296-598X, 2296-598XVeröffentlicht: Frontiers Media S.A 03.11.2022Veröffentlicht in 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 …”
Volltext
Journal Article -
16
A New Perturbation-Iteration Approach for First Order Differential Equations
ISSN: 2297-8747, 2297-8747Veröffentlicht: 01.12.2011Veröffentlicht in Mathematical and computational applications (01.12.2011)“… Two new perturbation-iteration algorithms for solving differential equations of first order are proposed …”
Volltext
Journal Article -
17
New Analytical Study of Non-Newtonian Jeffery Hamel Flow of Casson Fluid in Divergent and Convergent Channels by Perturbation Iteration Algorithm
ISSN: 2664-8288, 2664-8296Veröffentlicht: 30.04.2021Veröffentlicht in 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 …”
Volltext
Journal Article -
18
Optimal perturbation iteration method for solving fractional FitzHugh-Nagumo equation
ISSN: 0960-0779, 1873-2887Veröffentlicht: Elsevier Ltd 01.01.2021Veröffentlicht in Chaos, solitons and fractals (01.01.2021)“… •The optimal perturbation iteration algorithms have been adapted accordingly for solving the fractional model …”
Volltext
Journal Article -
19
On the Comparison of Perturbation-Iteration Algorithm and Residual Power Series Method to Solve Fractional Zakharov-Kuznetsov Equation
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 26.08.2017Veröffentlicht in 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 …”
Volltext
Paper -
20
Optimal perturbation iteration technique for solving nonlinear Volterra‐Fredholm integral equations
ISSN: 0170-4214, 1099-1476Veröffentlicht: Freiburg Wiley Subscription Services, Inc 15.09.2024Veröffentlicht in 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 …”
Volltext
Journal Article