A Subdivision Approach to the Approximate Solution of 3rd Order Boundary Value Problem
M. Aslam, G. Mustafa and A. Ghaffar, (2n-1)-Point ternary approximating and interpolating subdivision schemes, Journal of Applied Mathematics 2011 (2011), Article ID 832630, 13 pages, DOI: 10.1155/2011/832630.
G. de Rham, Sur une courbe plane, Journal de Mathématiques Pures et Appliquées 35 (1956), 25 – 42.
N. Dyn, D. Levin and J.A. Gregory, A 4-point interpolatory subdivision scheme for curve design, Computer Aided Geometric Design 4(4) (1987), 257 – 268.
N. Dyn, M.S. Floater and K. Hormann, A C2 four-point subdivision scheme with fourth order accuracy and its extensions, Analysis 1(128) (2005), f2.
A. Ghaffar, G. Mustafa and K. Qin, Unification and application of 3-point approximating subdivision schemes of varying arity, Open Journal of Applied Sciences 2(4b) (2012), 48 – 52.
A. Ghaffar and G. Mustafa, A family of even-point ternary approximating schemes, ISRN Applied Mathematics 2012 (2012), Article ID 197383, 14 pages, DOI: 10.5402/2012/197383.
G. Mustafa, F. Khan and A. Ghaffar, The m-point approximating subdivision scheme, Lobachevskii Journal of Mathematics 30(2) (2009), 138 – 145.
G. Mustafa and S.T. Ejaz, Numerical solution of two-point boundary value problems by interpolating subdivision schemes, Abstract and Applied Analysis 2014 (2014), Article ID 721314, 13 pages, DOI: 10.1155/2014/721314.
G. Mustafa, M. Abbas, S.T. Ejaz, A.I.M. Ismail and F. Khan, A numerical approach based on subdivision schemes for solving non-linear fourth order boundary value problems, Journal of Computational Analysis & Applications 23(1) (2017), 607 – 623.
G. Mustafa and S.T. Ejaz, A subdivision collocation method for solving two point boundary value problems of order three, Journal of Applied Analysis and Computation 7(3) (2017), 942 – 956.
R. Qu, Curve and surface interpolation by subdivision algorithms, Comput. Aided Drafting, Des. Manufact. 4(2) (1994), 28 – 39.
R. Qu and R.P. Agarwal, A cross difference approach to the analysis of subdivision algorithms, Neural, Parallel & Scientific Computations 3(3) (1995), 393 – 416.
R. Qu and R.P. Agarwal, Solving two point boundary value problems by interpolatory subdivision algorithms, International Journal of Computer Mathematics 60(3-4) (1996), 279 – 294.
R. Qu and R.P. Agarwal, A subdivision approach to the construction of approximate solutions of boundary-value problems with deviating arguments, Computers & Mathematics with Applications 35(11) (1998), 121 – 135.
E. Quak and M.S. Floater, Tutorials on Multiresolution in Geometric Modelling: Summer School Lectures Notes, Springer-Verlag New York, Inc. (2002).
W. Us Salam, S.S. Siddiqi and K. Rehan, Chaikin’s perturbation subdivision scheme in nonstationary forms, Alexandria Engineering Journal 55(3) (2016), 2855 – 2862.
- There are currently no refbacks.
eISSN 0975-8607; pISSN 0976-5905