REFERENCES: Bellman, R. E. (1967). Introduction to the Mathematical Theory of Control Processes. New York: Academic Press. Bellman, R. E., Jacquez, J., Kalaba, R., & Schwimmer, S. (1976). Quasilinearization and the estimation of chemical rate constants from raw kinetic data. Mathematical Biosciences, 1, 71-76. Ferris, D. P., & Farley, C. T. (1997). Interaction of leg stiffness and surfaces stif...

In this manuscript, we find the numerical solutions of a class fractional-order differential equations with singularity and strong nonlinearity pertaining to electrohydrodynamic flow in circular cylindrical conduit. The underlying model is removed by quasilinearization method (QLM) obtain family linearized equations. By making use generalized shifted airfoil polynomials second kind (SAPSK) toge...

Objective: This study investigates the Numerical solution of laminar boundary layer flow Magnetohydrodynamics (MHD) model for power-law fluid over a continuous moving surface in presence transverse magnetic. Methods: The governing partial differential equation was transformed into non-linear ordinary using Group theoretic method. Firstly, we convert this (ODE) linear by quasilinearization proce...

The effects of thermal conductivity which depend on temperature are conversely proportional with the linear function free convective flow where fluid is viscous and incompressible along a heated uniform vertical wavy surface has been examined in this study. boundary layer equations associated conditions that govern converted into nondimensional form by using an appropriate transformation. In do...

The paper presents a significant improvement to the implementation of the spectral relaxation method (SRM) for solving nonlinear partial differential equations that arise in the modelling of fluid flow problems. Previously the SRM utilized the spectral method to discretize derivatives in space and finite differences to discretize in time. In this work we seek to improve the performance of the S...