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The radiation effects on unsteady flow of a viscous incompressible fluid past an exponentially accelerated infinite
isothermal vertical plate with uniform mass diffusion is considered in the presence of magnetic field and heat source.
The governing partial differential equations are converted into a non-dimensional form and solved numerically by
applying a Crank-Nicholson type of implicit finite difference method with a tri-diagonal matrix manipulation and an
iterative procedure. The profiles of unsteady velocity, temperature and concentration are shown graphically for
different values of thermo physical parameters. Also, the simulated values of the skin-friction coefficient, Nusselt
number and Sherwood number are presented. This model finds applications in solar energy collection systems,
geophysics and astrophysics, aero space and also in the design of high temperature chemical process systems.