2021/02/13 by Yogita Mahatekar, Mahatekar, Yogita, Pallavi S. Scindia +1
Computer Science · Mathematics · #97N40 #Differential Equations and Numerical Methods #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Numerical methods for differential equations
paper · pdf · doi:10.48550/arxiv.2102.06925
openalex publication_date 2021/02/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the present paper, we introduce a new family of θ-methods for solving delay differential equations. New methods are developed using a combination of decomposition technique viz. new iterative method proposed by Daftardar Gejji and Jafari and existing implicit numerical methods. Using Butcher tableau, we observed that new methods are non Runge-Kutta methods. Further, convergence of new methods is investigated along with its stability analysis. Applications to variety of problems indicates that the proposed family of methods is more efficient than existing methods.