ISHAM swMATH ID: 7454 Software Authors: Motsa, Sandile S.; Marewo, Gerald T.; Sibanda, Precious; Shateyi, Stanford Description: An improved spectral homotopy analysis method for solving boundary layer problems This article presents an improved spectral-homotopy analysis method (ISHAM) for solving nonlinear differential equations. The implementation of this new technique is shown by solving the Falkner-Skan and magnetohydrodynamic boundary layer problems. The results obtained are compared to numerical solutions in the literature and MATLAB’s bvp4c solver. The results show that the ISHAM converges faster and gives accurate results. Homepage: http://www.boundaryvalueproblems.com/content/2011/1/3 Keywords: Falkner-Skan flow; boundary layer problems Related Software: Matlab; bvp4c Cited in: 7 Publications all top 5 Cited by 14 Authors 3 Sibanda, Precious 2 Khidir, Ahmed Abdalmgid 2 Motsa, Sandile Sydney 2 Shateyi, Stanford 1 Goqo, Sicelo Praisegod 1 Jaguaribe, Emerson Freitas 1 Khan, Yasir 1 Khandelwal, Rachana 1 Khandelwal, Yogesh 1 Kumawat, Padama 1 Marewo, Gerald T. 1 Murthy, Prabhala V. S. N. 1 Narayana, Mahesha 1 Oloniiju, Shina Daniel all top 5 Cited in 7 Serials 1 Numerical Algorithms 1 Mathematical Problems in Engineering 1 International Journal of Computational Methods 1 Boundary Value Problems 1 Afrika Matematika 1 Arabian Journal of Mathematics 1 International Journal of Applied and Computational Mathematics all top 5 Cited in 7 Fields 5 Fluid mechanics (76-XX) 2 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 2 Numerical analysis (65-XX) 1 Approximations and expansions (41-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX) Citations by Year