## Tridiagonal fourth order approximations to general two-point nonlinear boundary value problems with mixed boundary conditions

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- by Robert S. Stepleman PDF
- Math. Comp.
**30**(1976), 92-103 Request permission

## Abstract:

This paper develops fourth order discretizations to the two-point boundary value problem \[ \begin {array}{*{20}{c}} {{y^{(2)}}(t) = f(t,y(t),{y^{(1)}}(t)),} \\ {{\alpha _0}y(0) - {\beta _0}{y^{(1)}}(0) = {\delta _0},\quad {\alpha _1}y(1) + {\beta _1}{y^{(1)}}(1) = {\delta _1}.} \\ \end {array} \] These discretizations have the desirable properties that they are tridiagonal and of "positive type".## References

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## Additional Information

- © Copyright 1976 American Mathematical Society
- Journal: Math. Comp.
**30**(1976), 92-103 - MSC: Primary 65L10
- DOI: https://doi.org/10.1090/S0025-5718-1976-0408259-6
- MathSciNet review: 0408259