Premium
Solutions of system of Volterra integro‐differential equations using optimal homotopy asymptotic method
Author(s) -
Agarwal Praveen,
Akbar Muhammad,
Nawaz Rashid,
Jleli Mohamed
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6783
Subject(s) - mathematics , homotopy analysis method , homotopy , discretization , convergence (economics) , collocation method , ordinary differential equation , sinc function , numerical analysis , collocation (remote sensing) , simple (philosophy) , reliability (semiconductor) , differential equation , mathematical analysis , mathematical optimization , computer science , philosophy , power (physics) , physics , epistemology , quantum mechanics , machine learning , pure mathematics , economics , economic growth
In this paper, a powerful semianalytical method known as optimal homotopy asymptotic method (OHAM) has been formulated for the solution of system of Volterra integro‐differential equations. The effectiveness and performance of the proposed technique are verified by different numerical problems in the literature, and the obtained results are compared with Sinc‐collocation method. These results show the reliability and effectiveness of the proposed method. The proposed method does not require discretization like other numerical methods. Moreover, the convergence region can easily be controlled. The use of OHAM is simple and straightforward.