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Five-diagonal sixth-order methods for two-point boundary value problems involving fourth-order differential equations


Author: C. P. Katti
Journal: Math. Comp. 35 (1980), 1177-1179
MSC: Primary 65L10
DOI: https://doi.org/10.1090/S0025-5718-1980-0583494-6
MathSciNet review: 583494
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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 [Enhancements On Off] (What's this?)

  • [1] RIAZ A. USMANI, "Discrete variable methods for a boundary value problem with engineering applications," Math. Comp., v. 32, 1978, pp. 1087-1096. MR 0483496 (58:3497)
  • [2] M. M. CHAWLA & C. P. KATTI, "Finite difference methods for two-point boundary value problems involving high order differential equations," BIT, v. 19, 1979, pp. 27-33. MR 530112 (80h:65055)

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DOI: https://doi.org/10.1090/S0025-5718-1980-0583494-6
Article copyright: © Copyright 1980 American Mathematical Society

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