The Boubaker polynomials expansion scheme BPES for solving a standard boundary value problem

Applied Sciences

Volumn 12, Issue , 2010, Pages 153-157

  Zhang, D H ^a   Naing, L ^a  

^a NONE   (United States)

Author keywords

Analytical solution; Boubaker polynomials; Boundary value problems; BPES

Indexed keywords

EID: 77955779884     PISSN: None     EISSN: 14545101     Source Type: Journal    
DOI: None     Document Type: Article

References (21)

1. O. B. Awojoyogbe and K. Boubaker, A solution to Bloch NMR flow equations for the analysis of homodynamic functions of blood flow system using m-Boubaker polynomials, Curr. App. Phys. 9 (2009), 278-283.
2. K.B. Ben Mahmoud, Solution to heat equation inside cryogenic vessels using Boubaker polynomials, J. of Thermoph. and Heat Transf. 23 (2009), 409-411.
3. A. Belhadj, O. F. Onyango and N. Rozibaeva, Boubaker polynomials expansion scheme-related heat transfer investigation inside keyhole model, J. of Thermophys. Heat Transf. 23 (2009), 639-640.
4. K. Boubaker, Determination of temperature profiles beneath a sample heated by by Gaussian beam using Modal Spectrum Method (MSM), Int. J. of Heat and Tech. 20 (2008), 31-36.
5. K. Boubaker, On modified Boubaker polynomials: some differential and analytical properties of the new polynomials issued from an attempt for solving bi-varied heat equation, Trends in App. Sc. Res. 2 (2007), 540-544.
6. A. Chaouachi, K. Boubaker, M. Amlouk and H. Bouzouita, Enhancement of pyrolysis spray disposal performance using thermal time-response to precursor uniform deposition, Eur. Phys. J. Appl. Phys. 37 (2007), 105-109.
7. M. Dehghan, Finite difference procedures for solving a problem arising in modeling and design of certain optoelecletronic devices, Math. Comput. Sim. 71 (2006), 16-30.
8. S. Fridjine and M. Amlouk, A new parameter: An ABACUS for optimizing functional materials using the Boubaker polynomials expansion scheme, Modern Phys. Lett. B 23 (2009), 2179-2182.
9. F. Geng and M. Cui, Solving a nonlinear system of second order boundary value problems, J. Math. Anal. Appl. 327 (2007), 1167-1181.
10. A.Y. Ghaly, M.A. Seddeek, Heat and mass transfer on laminar flow along a semi infinite horizontal plate with temperature dependent viscosity, Chaos Solitons Fract. 19 (2004), 6170
11. J. Ghanouchi, H. Labiadh and K. Boubaker, An Attempt to solve the heat transfer equation in a model of pyrolysis spray using 4q-Order Boubaker polynomials, Int. J. of Heat and Tech. 26 (2008), 49-53.
12. Y.C. Hon and X.Z. Mao, Hopf An efficient numerical scheme for Burgers' equation, Appl. Math. Comput. 95 (1998), 37-50.
13. E.J. Kansa, Multiquadrics a scattered data approximation scheme with applications to computational fluid dynamics II, Math. Appl. 19 (1990), 147-161.
14. H. Labiadh, A Sturm-Liouville shaped characteristic differential equation as a guide to establish a quasi-polynomial expression to the Boubaker polynomials, J. of Diff. Eq. and C. Proc. 1 (2007), 117-133.
15. M. Marcozzi, S. Choi and C.S. Chen, On the question of boundary conditions for variational formulations arising in mathematical finance, Appl. Math. Comput. 124 (2001), 197-214.
16. S. Matthews, Parameter Robust Numerical Methods For a System of Two Cou-pled Singularly Perturbed Reaction Equations, Master Thesis, School of Math. Sci., Dublin City University, 2000.
17. A. Saadatmandi and J. A. Farsang, Chebyshev finite difference method for a nonlinear system of second-order boundary value problems, Appl. Math. Comput. 192 (2007), 586-591.
18. S. Slama, J. Bessrour, M. Bouhafs and K. B. Ben Mahmoud, Numerical Distribution of Temperature as a Guide to Investigation of Melting Point Maximal Front Spatial Evolution During Resistance Spot Welding Using Boubaker Polynomi, Num. Heat Transf. Part A 55 (2009), 401-408.
19. S. Tabatabaei, T. Zhao, O. Awojoyogbe and F. Moses, Cut-off cooling velocity profiling inside a keyhole model using the Boubaker polynomials expansion scheme, Heat Mass Transf. 45 (2009), 1247-1251.
20. K.W. Tomantschger, Series solutions of coupled differential equations with one regular singular point, J. Comput. Appl. Math. 140 (2002), 773-783.
21. C.Wafo Soh, F. M. Mahomed, Linearization criteria for a system of second-order ordinary differential equations, Int. J. Non-Linear Mech. 36 (2001), 671-676.