Direct integration of the third-order two point and multipoint Robin type boundary value problems

This numerical study exclusively focused on the direct two point diagonally multistep block method of order four (2DDM4) in form Adams-type formulas. The proposed predictor–corrector scheme was applied this to compute equally spaced solutions for third-order and multipoint boundary value problems (BVPs) subject Robin conditions concurrently at each step. optimization computational costs taken into consideration by not resolving equation a set first-order differential equations. Instead, its implementation involved use shooting technique, which included Newton divided difference formula employed iterative part, estimation initial guess. Apart from studying local truncation error, also analysis, including order, stability, convergence. results eight demonstrated highlighted competitive cost attained scheme, as compared existing method.