%0 Journal Article %T An Analytical Approximation for Boundary Layer Flow Convection Heat and Mass Transfer Over a Flat Plate %A Aminikhah, Hossein %A Jamalian, Ali %J Journal of Mathematics and Computer Science %D 2012 %V 5 %N 4 %@ ISSN 2008-949X %F Aminikhah2012 %X In this article, Laplace transform and new homotopy perturbation methods are adopted to study the problem of forced convection over a horizontal flat plate analytically. The problem is a system of nonlinear ordinary differential equations which arises in boundary layer flow. The solutions approximated by the proposed method are shown to be precise as compared to the corresponding results obtained by numerical method. A high accuracy of new method is evident. %9 journal article %R 10.22436/jmcs.05.04.01 %U http://dx.doi.org/10.22436/jmcs.05.04.01 %P 241--257 %0 Journal Article %T The Boundary Layers in Fluid with Little Friction (in German) Zeitschrift fur Mathematik und Physik %A H. Blasius %J English translation available as NACATM 1256 %D 1950 %V 56 (1) %F Blasius 1950 %0 Journal Article %T Homotopy perturbation technique %A J. H. He %J Comput Meth Appl Mech Eng %D 1999 %V 178 %F He1999 %0 Journal Article %T A coupling method of homotopy technique and perturbation technique for nonlinear problems %A J. H. He %J Int J Non-linear Mech %D 2000 %V 35 %F He2000 %0 Journal Article %T New interpretation of homotopy perturbation method %A J. H. He %J Int J Mod Phys B %D 2006 %V 20 %F He2006 %0 Journal Article %T Recent development of homotopy perturbation method %A J. H. He %J Topol. Meth Nonlinear Anal %D 2008 %V 31 %F He2008 %0 Journal Article %T The homotopy perturbation method for nonlinear oscillators with discontinuities %A J. H. He %J Appl Math Comput %D 2004 %V 151 %F He2004 %0 Journal Article %T Application of homotopy perturbation method to nonlinear wave equations %A J. H. He %J Chaos Soliton Fract %D 2005 %V 26 %F He2005 %0 Journal Article %T Limit cycle and bifurcation of nonlinear problems %A J. H. He %J Chaos Soliton Fract %D 2005 %V 26 %F He2005 %0 Journal Article %T Application of homotopy perturbation method in nonlinear heat conduction and convection equations %A A. Rajabi %A D. D. Ganji %J Phys Lett A %D 2007 %V 360 %F Rajabi2007 %0 Journal Article %T Application of homotopy perturbation and variational iteration methods to nonlinear heat transfer and porous media equations %A D. D. Ganji %A A. Sadighi %J J Comput Appl Math %D 2007 %V 207 %F Ganji2007 %0 Journal Article %T The application of Hes homotopy perturbation method to nonlinear equations arising in heat transfer %A D. D. Ganji %J Phys Lett A %D 2006 %V 355 %F Ganji 2006 %0 Journal Article %T Fourth order Volterra integro differential equations using modifed homotopy-perturbation method %A G. A. Afrouzi %A D. D. Ganji %A H. Hosseinzadeh %A R. A. Talarposhti %J The Journal of Mathematics and Computer Science %D 2011 %V 3 %F Afrouzi2011 %0 Journal Article %T Numerical Solution of 12th Order Boundary Value Problems by Using Homotopy Perturbation Method %A Mohamed I. A. Othman %A A. M. S. Mahdy %A R. M. Farouk %J The Journal of Mathematics and Computer Science %D 2010 %V 1 %F Othman2010 %0 Journal Article %T APPLICATION OF HOMOTOPY PERTURBATION TRANSFORM METHOD TO LINEAR AND NON-LINEAR SPACE-TIME FRACTIONAL REACTIONDIFFUSION EQUATIONS %A J. Singh %A D. Kumar %A Sushila %A S. Gupta %J The Journal of Mathematics and Computer Science %D 2012 %V 5 %F Singh2012 %0 Journal Article %T A numerical solution of Blasius equation by Adomians decomposition method and comparison with homotopy perturbation method %A S. Abbasbandy %J Chaos Soliton Fract %D 2007 %V 31 %F Abbasbandy2007 %0 Journal Article %T Exact solutions for nonlinear Schrodinger equations by He's homo-topy perturbation method %A J. Biazar %A H. Ghazvini %J Phys Lett A %D 2007 %V 366 %F Biazar2007 %0 Journal Article %T Numerical solutions of the integral equations: homotopy perturbation and Adomians decomposition method %A S. Abbasbandy %J Appl Math Comput %D 2006 %V 173 %F Abbasbandy 2006 %0 Journal Article %T Homotopy perturbation method for solving boundary value problems %A JH. He %J Phys Lett A %D 2006 %V 350 %F He2006 %0 Journal Article %T Homotopy perturbation method for fractional KdV-Burgers equation %A Q. Wang %J Chaos Soliton Fract %D 2008 %V 35 %F Wang2008 %0 Journal Article %T Homotopy perturbation method for solving a nonlinear system of second order boundary value problems %A E. Yusufoglu %J Int J Nonlinear Sci Numer Simul %D 2007 %V 8 %F Yusufoglu2007 %0 Journal Article %T A Series Solution of the Long Porous Slider %A Y. Khan %A N. Faraz %A A. Yildirim %A Q. Wu %J Tribology Transactions %D 2011 %V 54, 2 %F Khan2011 %0 Journal Article %T Application of He’s homotopy perturbation method to boundary layer flow and convection heat transfer over a flat plate %A M. Esmaeilpour %A D. D. Ganji %J Physics Letters A %D 2007 %V 372 %F Esmaeilpour2007 %0 Journal Article %T On the Solution of the Laminar Boundary-Layer Equations %A L. Howarth %J Proceedings of the Royal Society of London, A %D 1983 %V 164 %F Howarth1983 %0 Journal Article %T Analytical Approximation to the Solution of Nonlinear Blasius’ Viscous Flow Equation by LTNHPM %A H. Aminikhah %J ISRN Mathematical Analysis, Article ID 957473, doi:10.5402/2012/957473. %D 2012 %V 2012 %F Aminikhah2012 %0 Journal Article %T An efficient method for quadratic Riccati differential equation %A H. Aminikhah %A M. Hemmatnezhad %J Commun. Nonlinear Sci. Numer. Simul. %D 2010 %V 15 %F Aminikhah2010 %0 Book %T A new efficient method for solving the nonlinear Fokker–Planck equation %A H. Aminikhah %A A. Jamalian %D 2012 %I Scientia Iranica, In Press %C Available online 3 July 2012. %F Aminikhah2012 %0 Journal Article %T A New Efficient Method for Nonlinear Fisher-Type Equations %A H. Aminikhah %A F. Mehrdoust %A A. Jamalian %J Journal of Applied Mathematics , Article ID 586454, doi:10.1155/2012/586454. %D 2012 %V 2012 %F Aminikhah2012 %0 Book %T Transport Phenomena %A R. Byron Bird %A Warren E. Stewart %A Edwin N. Lightfoot %D %I John Wiley& Sons (ASIA) Pte Ltd %C 627. %F Bird