Solving numerically a seventh order boundary value problem by splitting coupled finite difference method

In this present article we concerned with numerical solution of seventh order boundary value problem. We have proposed a novel finite difference method and derived proposed finite difference method by splitting coupled equations method. Under appropriate conditions, we have established the convergence of the proposed method. Also we have obtained a numerical value of derivative of solution of the problem which is practically useful in some modeling problem. We have applied proposed method for the numerical solution of model problems. Numerical results are in good agreement to the proposed theoretical results.