6533b829fe1ef96bd128a1d4

RESEARCH PRODUCT

Collocation Method for Linear BVPs via B-spline Based Fuzzy Transform

Svetlana AsmussMartins Kokainis

subject

CollocationB-spline010103 numerical & computational mathematics02 engineering and technologyFunction (mathematics)01 natural sciencesFuzzy logicCollocation method0202 electrical engineering electronic engineering information engineeringOrder (group theory)Applied mathematics020201 artificial intelligence & image processingBoundary value problem0101 mathematicsApproximate solutionMathematics

description

The paper is devoted to an application of a modified F-transform technique based on B-splines in solving linear boundary value problems via the collocation method. An approximate solution is sought as a composite F-transform of a discrete function (which allows the solution to be compactly stored as the values of this discrete function). We demonstrate the effectiveness of the described technique with numerical examples, compare it with other methods and propose theoretical results on the order of approximation when the fuzzy partition is based on cubic B-splines.

yearjournalcountryeditionlanguage
2018-01-01
https://doi.org/10.1007/978-3-319-91476-3_16