### A Multi-Domain Bivariate Approach for Mixed Convection in a Casson Nanofluid with Heat Generation

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DD Joye, JP Bushinsky and PE Saylor. Mixed convection heat transfer at high Grashof number in a vertical tube. Ind. Eng. Chem. Res. 1989; 28, 1899-903.

SPM Isa, NM Arifin and R Nazar. Mixed convection boundary layer flow of a Casson fluid near the stagnation point over a permeable surface. Malay. J. Fund. Appl. Sci. 2014; 10, 22-7.

T Hayat, SA Shehzad, A Alsaedi and MS Alhothuali. Mixed convection stagnation point flow of Casson fluid with convective boundary conditions. Chin. Phys. Lett. 2012; 29, 114704.

K Sharada and B Shankar. MHD mixed convection flow of a Casson fluid over an exponentially stretching surface with the effects of soret, dufour, thermal radiation and chemical reaction. World J. Mech. 2015; 5, 165-77.

T Hayat, MB Ashraf, SA Shehzad, and A Alsaedi. Mixed convection flow of Casson nanofluid over a stretching sheet with convectively heated chemical reaction and heat source/sink. J. Appl. Fluid Mech. 2015; 8, 803-13.

R Kandasamy, R Saravanan and KKS Prabhu. Chemical reaction on non-linear boundary layer flow over a porous wedge with variable stream conditions. Chem. Eng. Comm. 2010; 197, 522-43.

G Makanda, S Shaw and P Sibanda. Effects of radiation on MHD free convection of a Casson fluid from a horizontal circular cylinder with partial slip in non-Darcy porous medium with viscous dissipation. Bound. Value Probl. 2015; 75, 1-14.

M Aslefallah and D Rostamy. A numerical scheme for solving Space-Fractional equation by finite differences theta-method. Int. J. Adv. Appl. Math. Mech. 2014; 1, 1-9.

M Aslefallah and D Rostamy. Numerical solution for Poisson fractional equation via finite differences theta-method. J. Math. Comput. Sci. 2014; 12, 132-42.

M Aslefallah and E Shivanian. A nonlinear partial integro-differential equation arising in population dynamic via radial basis functions and theta-method. J. Math. Comput. Sci. 2014; 13, 14-25.

M Aslefallah, D Rostamy and K Hosseinkhani. Solving time-fractional differential diffusion equation by theta-method. Int. J. Adv. Appl. Math. Mech. 2014; 2, 1-8.

NG Kafoussias and EW Williams. Thermal-diffusion and diffusion-thermo effects on mixed free-forced convective and mass transfer boundary layer flow with temperature dependent viscosity. Int. J. Eng. Sci. 1995; 33, 1369-84.

AJ Chamkha and SMM El-Kabeir. Unsteady heat and mass transfer by MHD mixed convection flow over an impulsively stretched vertical surface with chemical reaction and Soret and Dufour effects. Chem. Eng. Comm. 2013; 200, 1220-36.

SUS Choi. Enhancing thermal conductivity of fluids with nanoparticles. ASME Publ. Fed. 1995; 231, 99-106.

J Buongiorno. Convective transport in nanofluids. J. Heat Trans. 2006; 128, 240-50.

AV Kuznetsov and DA Nield. Natural convective boundary layer flow of a nanofluid past a vertical plate: A revised model. Int. J. Therm Sci. 2014; 77, 126-9.

M Fakour, A Vahabzadeh and DD Ganji. Scrutiny of mixed convection flow of a nanofluid in a vertical channel. Case Stud. Therm. Eng. 2014; 4, 15-23.

JA Khan, M Mustafa, T Hayat and A Alsaedi. Three-dimensional flow of nanofluid over a non-linearly stretching sheet: An application to solar energy. Int. J. Heat Mass Trans. 2015; 86, 158-64.

MY Malik, M Naseer, S Nadeem and A Rehman. The boundary layer flow of Casson nanofluid over a vertical exponentially stretching cylinder. Appl. Nanosci. 2014; 4, 869-73.

S Nadeem, R Mehmood and NS Akbar. Optimized analytical solution for oblique flow of a Casson-nano fluid with convective boundary conditions. Int. J. Therm. Sci. 2014; 78, 90-100.

UIR Haq, S Nadeem, ZH Khan and TG Okedayo. Convective heat transfer and MHD effects on Casson nanofluid flow over a shrinking sheet. Cent. Eur. J. Phys. 2014; 12, 862-71.

MH Abolbashari, N Freidoonimehr, F Nazari and MM Rashidi. Analytical modeling of entropy generation for Casson nano-fluid flow induced by a stretching surface. Adv. Powder Tech. 2015; 26, 542-52.

S Mukhopadhyay. Effects of thermal radiation on Casson fluid flow and heat transfer over an unsteady stretching surface subjected to suction/blowing. Chin. Phys. B 2013; 22, 114702.

SS Motsa, P Dlamini and M Khumalo. A new multi-stage spectral relaxation method for solving chaotic initial value systems. Nonlin. Dyn. 2013; 72, 265-83.

RE Bellman and RE Kalaba. Quasilinearization and nonlinear boundary-value problems. Soc. Ind. Appl. Math. Rev. 1966; 8, 401-2.

SS Motsa, PG Dlamini and M Khumalo. Spectral relaxation method and spectral quasilinearization method for solving unsteady boundary layer flow problems. Adv. Math. Phys. 2014; 2014, 341964.

SS Motsa, FG Awad, ZG Makukula and P Sibanda. The spectral homotopy analysis method extended to systems of partial differential equations. Abs. Appl. Anal. 2014; 2014, 241594.

LN Trefethen. Spectral Methods in MATLAB. Society for Industrial and Applied Mathematics, 2000.

VM Soundalgekar and R Murty. Heat transfer in flow past a continuous moving plate with variable temperature. Warme - und Stoffubertragung 1980; 14, 91-3.

PM Patil, D Anikumar and S Roy. Unsteady thermal radiation mixed convection flow from a moving vertical plate in a parallel free stream: Effect of Newtonian heating. Int. J. Heat Mass Trans. 2013; 62, 534-40.

T Hussain, SA Shehzad, A Alsaedi, T Hayat and M Ramzan. Flow of Casson nanofluid with viscous dissipation and convective conditions: A mathematical model. J. Central South Univ. 2015; 22, 1132-40.

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