Exponentially Fitted Diagonally Implicit EDITRK Method for Solving ODEs

This paper derives the EDITRK4 technique, which is an exponentially fitted diagonally implicit RK method for solving ODEs . approach intended to integrate exactly initial value problems (IVPs), their solutions consist of linear combinations group functions and fitting problems, with being problem’s major frequency utilized improve precision method. The modified a new three-stage fourth-order exponentially-fitted IVPs that are exponential as solutions. Different forms -order must be derived using system, when same issue reduced framework equations can solved conventional approaches, numerical comparisons done. findings show novel more efficacious than previously published methods.