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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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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.
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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