Improving Accuracy Through the Three Steps Block Methods For Direct Solution of Second Order Initial Value Problem Using Interpolation and Collocation Approach

R. MuhammadI. D. Zakariyau2025-04-142020-062734-38392735-962Xhttp://repository.futminna.edu.ng:4000/handle/123456789/647KASU JOURNAL OF MATHEMATICAL SCIENCES (KJMS) VOL. 1, ISSUE 1, JUNE 2020 http:/www.journal.kasu.edu.ng/index.php/kjmsThis paper presents three-step block method for direct solution of second order initial value problems of ordinary differential equations. The collocation and interpolation approach was adopted to generate a continuous block method using power series as basis function. The properties of the proposed approach such as order, error constant, zero-stability, consistency and convergence were also investigated. The proposed method competes favorably with exact solution and the existing methods.encollocationinterpolationpower serieszero-stabilityconvergenceblock methodImproving Accuracy Through the Three Steps Block Methods For Direct Solution of Second Order Initial Value Problem Using Interpolation and Collocation ApproachArticle