Study on numerical methods for solving differential equations

This paper is mainly analytic and comparative among various numerical methods for solving differential equations but chapter-VI contains two proposed numerical methods based on (i) Predictor-Corrector formula for solving the ordinary differential equation of first order and first degree (ii) Finite-difference approximation formula for solving the partial differential equation of elliptic type. Two types of problems are discussed in details in this work, namely the ordinary differential equation in chapters-2 & chapter-3 and partial differential equation in chapter-4. Also, Chapter-V highlighted the boundary value problems.