Solution of Higher-Order ODEs Using Backward Difference Method | Zendy

Mohamed Bin Suleiman | Zendy; Zarina Bibi Binti Ibrahim | Zendy; Ahmad Fadly Nurullah Rasedee | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Solution of Higher-Order ODEs Using Backward Difference Method

Author(s) -

Mohamed Bin Suleiman,

Zarina Bibi Binti Ibrahim,

Ahmad Fadly Nurullah Rasedee

Publication year - 2011

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2011/810324

Subject(s) - ode , ordinary differential equation , mathematics , constant (computer programming) , reduction of order , order (exchange) , differential equation , first order , constant coefficients , differential (mechanical device) , mathematical analysis , exact differential equation , computer science , physics , finance , economics , thermodynamics , programming language

The current numerical technique for solving a system of higher-order ordinary differential equations (ODEs) is to reduce it to a system of first-order equations then solving it using first-order ODE methods. Here, we propose a method to solve higher-order ODEs directly. The formulae will be derived in terms of backward difference in a constant stepsize formulation. The method developed will be validated by solving some higher-order ODEs directly with constant stepsize. To simplify the evaluations of the integration coefficients, we find the relationship between various orders. The result presented confirmed our hypothesis

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research