Weighted transform and approximation of some functions on unbounded sets

Jahedi, Sedigheh; Javadi, F.; J., Mehdipour, M.

doi:10.1007/s00500-017-2638-z

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2018

Publication Types

Select...

Article2

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

(1 citation statement)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Further, in [14], FzT to approximate the solution of boundary value problems by minimizing the integral squared error in the two-norm was considered. The trigonometric function based on higher degree FzT and the accuracy of the resulting approximation increase with the increase in the degree of FzT were presented by [15], while the weighted transform method was discussed by [16]. The conditions for quasi-consensus in a multi-agent system with sampled data based on FzT were proposed by [17].…”

Section: Introductionmentioning

confidence: 99%

New Approximation Methods Based on Fuzzy Transform for Solving SODEs: I

ALKasasbeh

Perfilieva

Ahmad

et al. 2018

ASI

View full text Add to dashboard Cite

In this paper, new approximation methods for solving systems of ordinary differential equations (SODEs) by fuzzy transform (FzT) are introduced and discussed. In particular, we propose two modified numerical schemes to solve SODEs where the technique of FzT is combined with one-stage and two-stage numerical methods. Moreover, the error analysis of the new approximation methods is discussed. Finally, numerical examples of the proposed approach are confirmed, and applications are presented.

show abstract

Section: Introductionmentioning

confidence: 99%