Stability analysis of stagnation-point flow past a shrinking sheet in a nanofluid by Amin Noor, Roslinda Nazar, Khamisah Jafar

“…The governing nonlinear partial differential equations are transformed into a system of nonlinear ordinary differential equations using a similarity transformation which is then solved numerically using the function bvp4c in Matlab. …”
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MHD flow and heat transfer of ferrofluid on stagnation point along flat plate with convective boundary condition and thermal radiation effect by Siti Hanani, Mat Yasin, Muhammad Khairul Anuar, Mohamed, Zulkhibri, Ismail, Widodo, Basuki, Mohd Zuki, Salleh

“…The governing equation which is in the form of dimensional nonlinear partial differential equations are reduced to nonlinear ordinary differential equations by using appropriate similarity transformation and then solved numerically by using the Keller-box method. …”
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Application of newton and MSOR methods for solving 2D porous medium equations by Chew, Jackel Vui Lung, Jumat Sulaiman

“…Nonlinear partial differential equations, for instance, porous medium equations, can be difficult to be solved. …”
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Flow of Jeffrey fluid over a horizontal circular cylinder with suspended nanoparticles and viscous dissipation effect : Buongiorno model by Syazwani, Mohd Zokri, Nur Syamilah, Arifin, Abdul Rahman, Mohd Kasim, Mohd Zuki, Salleh

“…The non-dimensional and non-similarity transformation variables are implemented to transform the dimensional nonlinear partial differential equations (PDEs) into two nonlinear PDEs, and then tackled numerically through the Keller-box method. …”
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Influence of viscous dissipation on the flow and heat transfer of a Jeffrey fluid towards horizontal circular cylinder with free convection: A numerical study by Syazwani, Mohd Zokri, Nur Syamilah, Arifin, Muhammad Khairul Anuar, Mohamed, Abdul Rahman, Mohd Kasim, Nurul Farahain, Mohammad, Mohd Zuki, Salleh

“…The non-dimensional variables and non-similar transformations are implemented to transform the dimensional partial differential equations into two nonlinear partial differential equations (PDEs). Then, the implicit, unconditionally stable and well-tested Keller-box method is used to solve the PDEs by adding an extra boundary condition at infinity. …”
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B-Spline Collocation Approach For Solving Partial Differential Equations by Mat Zin, Shazalina

“…Due to this properties, B-splines have been used to generate the numerical solutions of linear and nonlinear partial differential equations. In this thesis, two types of B-spline basis function are considered. …”
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Unsteady free convection on a horizontal circular cylinder in the presence of heat generation and radiation by Zainuddin, Najahulfazliah

“…These equations are then transformed into a system of nonlinear partial differential equations, then were solved numerically by using two types of finite difference methods namely explicit finite difference method and implicit finite difference scheme of Crank Nicolson method. …”
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G-Jitter effect on heat and mass transfer of three-dimensional stagnation point nanofluid flow by Ahmad Kamal, Mohamad Hidayad

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Numerical investigation of Von Karman swirling bioconvective nanofluid transport from a rotating disk in a porous medium with Stefan blowing and anisotropic slip effects by Bég, O. Anwar, Kabir, Muhammad Nomani, Md Jashim, Uddin, Ahmad Izani, Md Ismail, Alginahi, Yasser M.

“…The nano-bio transport model is formulated using nonlinear partial differential equations, which are transformed to a set of similarity ordinary differential equations (SODEs) by appropriate transformations. …”
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Numerical solutions for convective boundary layer flow over a solid sphere of newtonion and non-newtonion fluids by Hamzeh Taha, Salman Alkasasbeh

“…Similarity variables were used to deduce the dimensionless governing equations into a system of nonlinear partial differential equations. This system was solved numerically by using the numerical scheme, namely as Keller-box method. …”
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