Application of Shooting Method and Finite Difference Method in Providing Solution to Two Boundaries Value Problems

This paper investigates the efficacy of the shooting method and finite difference method in the numerical solution of two point boundary value non linear problems. The difficulty in providing exact solutions to two point boundary value problems via analytical methods necessitated the study. The shooting method which utilizes the Runge-Kutta method as integrator provides us with a better approximation to the solution than the finite difference method which utilizes second order, central difference scheme in solving two point boundary value problems (ODEs) of non-linear type with Dirichlet boundary conditions

Subscribe to access this work and thousands more
Overall Rating

0

5 Star
(0)
4 Star
(0)
3 Star
(0)
2 Star
(0)
1 Star
(0)
APA

Okafor, K. & C., O (2018). Application of Shooting Method and Finite Difference Method in Providing Solution to Two Boundaries Value Problems. Afribary. Retrieved from https://afribary.com/works/application-of-shooting-method-and-finite-difference-method-in-providing-solution-to-two-boundaries-value-problems

MLA 8th

Okafor, Kingsley, and Okafor C. "Application of Shooting Method and Finite Difference Method in Providing Solution to Two Boundaries Value Problems" Afribary. Afribary, 03 May. 2018, https://afribary.com/works/application-of-shooting-method-and-finite-difference-method-in-providing-solution-to-two-boundaries-value-problems. Accessed 21 Jun. 2024.

MLA7

Okafor, Kingsley, and Okafor C. . "Application of Shooting Method and Finite Difference Method in Providing Solution to Two Boundaries Value Problems". Afribary, Afribary, 03 May. 2018. Web. 21 Jun. 2024. < https://afribary.com/works/application-of-shooting-method-and-finite-difference-method-in-providing-solution-to-two-boundaries-value-problems >.

Chicago

Okafor, Kingsley and C., Okafor . "Application of Shooting Method and Finite Difference Method in Providing Solution to Two Boundaries Value Problems" Afribary (2018). Accessed June 21, 2024. https://afribary.com/works/application-of-shooting-method-and-finite-difference-method-in-providing-solution-to-two-boundaries-value-problems