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3 2021

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Editorial – Preface to the Special Issue on Numerical Techniques Meet with OR

Gürbüz Burcu, Weber Gerhard-Wilhelm

Foundations of Computing and Decision Sciences

2021

Vol. 46, No. 1

3--10

This special issue of the Foundations of Computing and Decision Sciences, titled ”Numerical Techniques Meet with OR”, is devoted to the numerical techniques and their applications in real-world phenomena. The special issue and its editorial present numerical algorithms as they meet with different research topics such as, e.g., from operational research, supply chain management, geometrical structures and Covid-19 effects on financial applications. Besides, the special issue covers instructional information about numerical techniques which are useful for OR research problems and real-world applications on such issues.

An Introduction to the Special Issue on Numerical Techniques Meet with OR - Part II

Gürbüz Burcu, Weber Gerhard-Wilhelm

Foundations of Computing and Decision Sciences

2021

Vol. 46, No. 3

201--204

The special issue: “Numerical Techniques Meet with OR” of the Foundations of Computing and Decision Sciences consists of two parts which are of the main theme of numerical techniques and their applications in multi-disciplinary areas. The first part of this special issue was already collected in the FCDS Vol. 46, issue 1. In this second part of our special issue editorial, a description of the special issue presents numerical methods which can be used as alternative techniques for Scientific Computing and led Operational Research applications in many fields for further investigation.

A Computational Technique for Solving Singularly Perturbed Delay Partial Differential Equations

Gürbüz Burcu

Foundations of Computing and Decision Sciences

2021

Vol. 46, No. 3

221--233

In this work, a matrix method based on Laguerre series to solve singularly perturbed second order delay parabolic convection-diffusion and reaction-diffusion type problems involving boundary and initial conditions is introduced. The approximate solution of the problem is obtained by truncated Laguerre series. Moreover convergence analysis is introduced and stability is explained. Besides, a test case is given and the error analysis is considered by the different norms in order to show the applicability of the method.