Abstract
Conference Title: 2018 12th International Conference on Mathematics, Actuarial Science, Computer Science and Statistics (MACS) Conference Start Date: 2018, Nov. 24 Conference End Date: 2018, Nov. 25 Conference Location: Karachi, Pakistan The solid placed in a porous medium is termed as conjugate, their study on heat transfer phenomenon in porous medium, has acquired much focus by numerous researchers [1]–[8] recently, due to the vast range of its applications in several areas of Engineering such as, Bio Instrumentation, Mechatronics and Bio Medical Engineering etc. This phenomenon is studied by applying a set of partial differential equations which are nonlinear and coupled in nature hence can't be solved directly; thus a numerical method called finite element method is used to solve them, which in turn generates a group of algebraic equations put together in the form of a matrix and are solved by using an algorithm with a tight convergence criteria. The current research is aimed to discuss an optimized algorithm based on numerical investigation to solve these equations, and compared with the conventional algorithm. Research results shows significant improvements with proposed algorithm, which outperforms efficiently for any complex solid geometry compared to conventional algorithm, while conventional can only perform better for simple solid geometry.