Solution of a Third Order Ordinary Differential Equation
Method 1:
Fourth Order Runge-Kutta integrator coupled with Newton-Raphson (root finding method) to calculate the left hand boundary condition (required for the Runge-Kutta integrator).
Method 2:
D02RAF NAG routine (finite difference boundary value problem solver)
Solution of a Pair of Coupled Partial Differential Equtions
Solution of a pair of coupled elliptic second order partial differential equations relating to the stream function and vorticity in Stokes flow (low Reynold’s number) using point and line successive over relaxation.
Method 1:
Gauss-Seidel iteration (point iteration scheme)
Method 2:
Thomas’ Tridiagonal Algorithm (line iteration scheme)
Impulsively Started Unsteady Boundary Layer Flow Around a Cylinder
Thomas’ Tridiagonal Algorithm