A fourth-order non-uniform mesh optimal B-spline collocation method for solving a strongly nonlinear singular boundary value problem describing electrohydrodynamic flow of a fluid

Ahmadi, 2014, A comprehensive analysis of the flow and heat transfer for a nanofluid over an unsteady stretching flat plate, Powder Technol., 258, 125, 10.1016/j.powtec.2014.03.021 Bellman, 1965 Carey, 1985, Grading functions and mesh redistribution, SIAM J. Numer. Anal., 22, 1028, 10.1137/0722061 Christara, 2006, Optimal quadratic and cubic spline collocation on nonuniform partitions, Computing, 76, 227, 10.1007/s00607-005-0140-4 Deboor, 1978 Gavabari, 2016, Application of Galerkin and collocation method to the electrohydrodynamic flow in a circular cylindrical conduit, J. Braz. Soc. Mech. Sci. Eng., 38, 2327, 10.1007/s40430-014-0283-3 Ghadikolaei, 2018, MHD raviative boundary layer analysis of micropolar dusty fluid with graphene oxide (Go)-engine oil nanoparticles in a porous medium over a stretching sheet with joule heating effect, Powder Technol., 338, 425, 10.1016/j.powtec.2018.07.045 Ghadikolaei, 2018, MHD boundary layer analysis for micropolar dusty fluid containing hybrid nanoparticles (Cu-Al2O3) over a porous medium, J. Mol. Liq., 268, 813, 10.1016/j.molliq.2018.07.105 Ghadikolaei, 2018, Investigation on three dimensional squeezing flow of mixture base fluid (ethylene glycol-water) suspended by hybrid nanoparticle (Fe3O4-Ag) dependent on shape factor, J. Mol. Liq., 262, 376, 10.1016/j.molliq.2018.04.094 Ghadikolaei, 2018, Numerical study on magnetohydrodynic CNTs-water nanofluids as a micropolar dusty fluid influenced by non-linear thermal radiation and joule heating effect, Powder Technol., 340, 389, 10.1016/j.powtec.2018.09.023 Ghadikolaei, 2018, Investigation on ethylene glycol-water mixture fluid suspend by hybrid nanoparticles (TiO2-CuO) over rotating cone with considering nanoparticles shape factor, J. Mol. Liq., 272, 226, 10.1016/j.molliq.2018.09.084 Ghadikolaei, 2018, Fe3O4–(CH2OH)2 nanofluid analysis in a porous medium under MHD radiative boundary layer and dusty fluid, J. Mol. Liq., 258, 172, 10.1016/j.molliq.2018.02.106 Ghasemia, 2014, Electrohydrodynamic flow analysis in a circular cylindrical conduit using least square method, J. Electrost., 72, 47, 10.1016/j.elstat.2013.11.005 He, 1998, Approximate analytical solution for seepage flow with fractional derivative with porous media, Comput. Methods Appl. Mech. Eng., 167, 57, 10.1016/S0045-7825(98)00108-X Hosseinzadeh, 2018, A numerical investigation on ethylene glycol-titanium dioxide nanofluid convective flow over a stretching sheet in presence of heat generation/absorption, Case Stud. Therm. Eng., 12, 228, 10.1016/j.csite.2018.04.008 Joneidi, 2009, Differential transformation method to determine fin efficiency of convective straight fins with temperature dependent thermal conductivity, Int. Commun. Heat Mass Transf., 36, 757, 10.1016/j.icheatmasstransfer.2009.03.020 Kadalbajoo, 2014, A robust nonuniform B-spline collocation method for solving the generalized Black–Scholes equation, IMA J. Numer. Anal., 34, 252, 10.1093/imanum/drs053 Khan, 2012, Approximate solution for the electrohydrodynamic flow in a circular cylindrical conduit, ISRN Comput. Math., 10.5402/2012/341069 Khuri, 2015, Numerical solution of a class of nonlinear system of second-order boundary-value problems: a fourth-order cubic spline approach, Math. Model. Anal., 20, 681, 10.3846/13926292.2015.1091793 Mastroberardino, 2011, Homotopy analysis method applied to electrohydrodynamic flow, Commun. Nonlinear Sci. Numer. Simul., 16, 2730, 10.1016/j.cnsns.2010.10.004 Mckee, 1997, Calculation of electro-hydrodynamic flow in a circular cylindrical conduit, Z. Angew. Math. Mech., 77, 457, 10.1002/zamm.19970770612 Mosayebidorcheh, 2013, Taylor series solution of the electrohydrodynamic flow equation, JMET, 1, 40, 10.18005/JMET0102001 Pandey, 2012, Semi-analytic algorithms for the electrohydrodynamic flow equation, J. Theor. Appl. Phys., 6, 45, 10.1186/2251-7235-6-45 Paullet, 1999, On solution of electro-hydrodynamic flow in a circular cylindrical conduit, Z. Angew. Math. Mech., 79, 357, 10.1002/(SICI)1521-4001(199905)79:5<357::AID-ZAMM357>3.0.CO;2-B Roul, 2020, A high accuracy numerical method and its convergence for time-fractional Black-Scholes equation governing European options, Appl. Numer. Math., 151, 472, 10.1016/j.apnum.2019.11.004 Roul, 2019, A new approximate method and its convergence for a strongly nonlinear problem governing electrohydrodynamic flow of a fluid in a circular cylindrical conduit, Appl. Math. Comput., 341, 335 Roul, 2018, A new high-order numerical method for solving singular two-point boundary value problems, J. Comput. Appl. Math., 343, 556, 10.1016/j.cam.2018.04.056 Roul, 2019, A fourth order B-spline collocation method and its error analysis for Bratu-type and Lane-Emden problems, Int. J. Comput. Math., 96, 85, 10.1080/00207160.2017.1417592 Roul, 2016, A novel numerical approach and its convergence for numerical solution of nonlinear doubly singular boundary value problems, J. Comput. Appl. Math., 296, 661, 10.1016/j.cam.2015.10.020 Roul, 2016, New approach for solving a class of singular boundary value problem arising in various physical models, J. Math. Chem., 54, 1255, 10.1007/s10910-016-0617-8 Roul, 2019, A new iterative algorithm for a strongly nonlinear singular boundary value problem, J. Comput. Appl. Math., 351, 167, 10.1016/j.cam.2018.10.043 Roul, 2019, A sixth-order numerical method for a strongly nonlinear singular boundary value problem governing electrohydrodynamic flow in a circular cylindrical conduit, Appl. Math. Comput., 350, 416 Roul, 2019, A new high order numerical approach for a class of nonlinear derivative dependent singular boundary value problems, Appl. Numer. Math., 145, 315, 10.1016/j.apnum.2019.06.016 Roul, 2019, An optimal sixth-order quartic B-spline collocation method for solving Bratu-type and Lane-Emden type problems, Math. Methods Appl. Sci., 42, 2613, 10.1002/mma.5537