Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/emerald-publishing/haar-wavelet-quasilinearization-approach-for-mhd-falkner-skan-flow-E3XmlhTyGu
References (44)
-
R. Bellman, R. Kalaba (1966)
Quasilinearization and nonlinear boundary-value problems -
P. Olver (1986)
Applications of lie groups to differential equationsActa Applicandae Mathematica, 20
-
M. Dehghan, V. Mohammadi (2015)
The method of variably scaled radial kernels for solving two-dimensional magnetohydrodynamic (MHD) equations using two discretizations: The Crank-Nicolson scheme and the method of lines (MOL)Comput. Math. Appl., 70
-
Manoj Kumar, Sapna Pandit (2014)
A composite numerical scheme for the numerical simulation of coupled Burgers' equationComput. Phys. Commun., 185
-
Ü. Lepik (2005)
Numerical solution of differential equations using Haar waveletsMath. Comput. Simul., 68
-
F. Shakeri, M. Dehghan (2011)
A finite volume spectral element method for solving magnetohydrodynamic (MHD) equationsApplied Numerical Mathematics, 61
-
X. Su, Liancun Zheng (2011)
Approximate solutions to MHD Falkner-Skan flow over permeable wallApplied Mathematics and Mechanics, 32
-
T. Hayat, Q. Hussain, T. Javed (2009)
The modified decomposition method and Padé approximants for the MHD flow over a non-linear stretching sheetNonlinear Analysis-real World Applications, 10
-
Ü. Lepik (2007)
Application of the Haar wavelet transform to solving integral and differential equationsProceedings of the Estonian Academy of Sciences. Physics. Mathematics
-
Buhe Eerdun, Qiqige Eerdun, Bala Huhe, Chaolu Temuer, Jing-Yu Wang (2014)
Variational iteration method with He's polynomials for MHD Falkner-Skan flow over permeable wall based on Lie symmetry methodInternational Journal of Numerical Methods for Heat & Fluid Flow, 24
-
K. Parand, A. Rezaei, S. Ghaderi (2010)
An approximate solution of the MHD Falkner-Skan flow by Hermite functions pseudospectral methodArXiv, abs/1008.2322
-
Yunqing Yang, Yong Chen, Yong Chen (2011)
Prolongation Structure of the Equation Studied by QiaoCommunications in Theoretical Physics, 56
-
V. Kalpakides, K. Balassas (2004)
Symmetry groups and similarity solutions for a free convective boundary-layer problemInternational Journal of Non-linear Mechanics, 39
-
W. Miller, L. Ovsiannikov (1982)
Group analysis of differential equations -
Manoj Kumar, Sapna Pandit (2015)
An efficient algorithm based on Haar wavelets for numerical simulation of Fokker-Planck equations with constants and variable coefficientsInternational Journal of Numerical Methods for Heat & Fluid Flow, 25
-
M. Dehghan, R. Salehi (2013)
A meshfree weak-strong (MWS) form method for the unsteady magnetohydrodynamic (MHD) flow in pipe with arbitrary wall conductivityComputational Mechanics, 52
-
Pratima Rai, K. Sharma (2011)
Parameter uniform numerical method for singularly perturbed differential–difference equations with interior layersInternational Journal of Computer Mathematics, 88
-
J. Anderson (2005)
Ludwig Prandtl’s Boundary LayerPhysics Today, 58
-
R. Ellahi, M. Hameed (2012)
Numerical analysis of steady non‐Newtonian flows with heat transfer analysis, MHD and nonlinear slip effectsInternational Journal of Numerical Methods for Heat & Fluid Flow, 22
-
A. Haar (1910)
Zur Theorie der orthogonalen FunktionensystemeMathematische Annalen, 69
-
E. Simmons (2005)
How to Popularize PhysicsPhysics Today, 58
-
Sapna Pandit, Manoj Kumar, S. Tiwari (2015)
Numerical simulation of second-order hyperbolic telegraph type equations with variable coefficientsComput. Phys. Commun., 187
-
S. Abbasbandy, T. Hayat (2009)
Solution of the MHD Falkner-Skan flow by homotopy analysis methodCommunications in Nonlinear Science and Numerical Simulation, 14
-
M. Dehghan, D. Mirzaei (2009)
Meshless Local Petrov--Galerkin (MLPG) method for the unsteady magnetohydrodynamic (MHD) flow through pipe with arbitrary wall conductivityApplied Numerical Mathematics, 59
-
S. Abbasbandy, T. Hayat (2009)
Solution of the MHD Falkner–Skan flow by Hankel–Padé methodPhysics Letters A, 373
-
Rajesh Gupta, V. Kumar, Ram Jiwari (2015)
Exact and numerical solutions of coupled short pulse equation with time-dependent coefficientsNonlinear Dynamics, 79
-
B. Raftari, H. Adibi, A. Yıldırım (2012)
Solution of the MHD Falkner‐Skan flow by Adomian decomposition method and Padé approximantsInternational Journal of Numerical Methods for Heat & Fluid Flow, 22
-
V. B.Sc., Miss Skan (1931)
LXXXV. Solutions of the boundary-layer equationsPhilosophical Magazine Series 1, 12
-
Ram Jiwari (2015)
A hybrid numerical scheme for the numerical solution of the Burgers' equationComput. Phys. Commun., 188
-
H. Hosseinzadeh, M. Dehghan, D. Mirzaei (2013)
The boundary elements method for magneto-hydrodynamic (MHD) channel flows at high Hartmann numbersApplied Mathematical Modelling, 37
-
Pratima Rai, K. Sharma (2011)
Numerical analysis of singularly perturbed delay differential turning point problemAppl. Math. Comput., 218
-
M. Dehghan, D. Mirzaei (2009)
Meshless local boundary integral equation (LBIE) method for the unsteady magnetohydrodynamic (MHD) flow in rectangular and circular pipesComput. Phys. Commun., 180
-
V. Kumar, R.K. Gupta, Ram Jiwari (2013)
Painlevé Analysis, Lie Symmetries and Exact Solutions for Variable Coefficients Benjamin—Bona—Mahony—Burger (BBMB) EquationCommunications in Theoretical Physics, 60
-
L. Kaur, R. Gupta (2013)
Kawahara equation and modified Kawahara equation with time dependent coefficients: symmetry analysis and generalized ‐expansion methodMathematical Methods in the Applied Sciences, 36
-
Ü. Lepik (2007)
Numerical solution of evolution equations by the Haar wavelet methodAppl. Math. Comput., 185
-
G. Bluman, S. Kumei (1989)
Symmetries and differential equations -
Ernest Robson, J. Chapline (1959)
The Orchestra of the LanguageIRE Transactions on Engineering Writing and Speech, 2
-
Ram Jiwari (2012)
A Haar wavelet quasilinearization approach for numerical simulation of Burgers' equationComput. Phys. Commun., 183
-
Eerdunbuhe, Temuerchaolu (2012)
Approximate solution of the magneto-hydrodynamic flow over a nonlinear stretching sheetChinese Physics B, 21
-
A. Johnpillai, A. Kara, A. Biswas (2013)
Symmetry reduction, exact group-invariant solutions and conservation laws of the Benjamin-Bona-Mahoney equationAppl. Math. Lett., 26
-
C. Falthammar (1996)
Plasma physics from laboratory to Cosmos-the life and achievements of Hannes AlfvenIEEE Conference Record - Abstracts. 1996 IEEE International Conference on Plasma Science
-
M. Dehghan, M. Tatari, A. Azizi (2011)
The solution of the Falkner‐Skan equation arising in the modelling of boundary‐layer problems via variational iteration methodInternational Journal of Numerical Methods for Heat & Fluid Flow, 21
-
A. Berger, E. Doolan, J. Miller, W. Schilders (1980)
Uniform Numerical Methods for Problems with Initial and Boundary Layers -
Some approximate solutions of the boundary-layer equations
Philosophical Magazine, 12
- Publisher
- Emerald Publishing
- Copyright
- Copyright © Emerald Group Publishing Limited
- ISSN
- 0961-5539
- DOI
- 10.1108/HFF-04-2016-0145
- Publisher site
- See Article on Publisher Site
Abstract
PurposeThis paper aims to deal with two-dimensional magneto-hydrodynamic (MHD) Falkner–Skan boundary layer flow of an incompressible viscous electrically conducting fluid over a permeable wall in the presence of a magnetic field.Design/methodology/approachUsing the Lie group approach, the Lie algebra of infinitesimal generators of equivalence transformations is constructed for the equation under consideration. Using these suitable similarity transformations, the governing partial differential equations are reduced to linear and nonlinear ordinary differential equations (ODEs). Further, Haar wavelet approach is applied to the reduced ODE under the subalgebra 4.1 for constructing numerical solutions of the flow problem.FindingsA new type of solutions was obtained of the MHD Falkner–Skan boundary layer flow problem using the Haar wavelet quasilinearization approach via Lie symmetric analysis.Originality/valueTo find a solution for the MHD Falkner–Skan boundary layer flow problem using the Haar wavelet quasilinearization approach via Lie symmetric analysis is a new approach for fluid problems.
Journal
International Journal of Numerical Methods for Heat and Fluid Flow – Emerald Publishing
Published: Jun 5, 2017