Five-diagonal sixth-order methods for two-point boundary value problems involving fourth-order differential equations
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- by C. P. Katti PDF
- Math. Comp. 35 (1980), 1177-1179 Request permission
Abstract:
We present a sixth order finite difference method for the two-point boundary value problem ${y^{(4)}} + f(x,y) = 0$, $y(a) = {A_0}$, $y(b) = {B_0}$, $y\prime (a) = {A_1}$, $y\prime (b) = {B_1}$. In the case of linear differential equations, our difference scheme leads to five-diagonal linear systems.References
- Riaz A. Usmani, Discrete variable methods for a boundary value problem with engineering applications, Math. Comp. 32 (1978), no. 144, 1087–1096. MR 483496, DOI 10.1090/S0025-5718-1978-0483496-5
- M. M. Chawla and C. P. Katti, Finite difference methods for two-point boundary value problems involving high order differential equations, BIT 19 (1979), no. 1, 27–33. MR 530112, DOI 10.1007/BF01931218
Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Math. Comp. 35 (1980), 1177-1179
- MSC: Primary 65L10
- DOI: https://doi.org/10.1090/S0025-5718-1980-0583494-6
- MathSciNet review: 583494