Conveners
Maths, Computation and Modeling
- Sinan Kul
The structure of the boundary layer in the asymptotics of a singularly perturbed Volterra-type integral equation is determined by the kernel of the integral equation. Researchers studying singularly perturbed integral equations have transformed them into integro-differential equations by differentiation, and then they have constructed the asymptotics. We will directly regularize the integral...
Demand fluctuations and increasing product variety make production planning a significant challenge in the textile industry. In environments where parallel machines operate with varying capacities and sequence-dependent setup requirements, accurate demand forecasting becomes essential for establishing realistic schedules and improving resource utilization. This study focuses on developing a...
This study addresses a second-order singularly perturbed problem using cubic B-spline functions. We first examine the properties of these functions and then introduce their dual basis for function expansion. Next, we construct an operational matrix of derivatives for the cubic B-splines. A hybrid scheme is developed to solve the problem efficiently. The numerical results demonstrate the...
Background: Indonesia's Free Nutritious Meals Program (MBG), launched in January 2025, has served more than 40 million recipients through more than 15,000 kitchens throughout Indonesia. As of October 2025, there have been 11,660 cases of food poisoning from 211 incidents in 25 provinces (88 districts/cities), accounting for 48% of all incidents. The massive increase in cases indicates the need...
Presented in this paper is a numerical method based on interpolation and collocation for solving singularly perturbed boundary value problems whose solutions exhibit boundary layers. First, the general properties of such singularly perturbed boundary value problems are discussed. Next, a Lagrange interpolation scheme using Chebyshev nodes, combined with collocation at same points, which yields...
Drilling costs and CO₂ emissions in oilwell drilling are direct functions of the time spent on drilling operations. This is because all the energy used during the drilling operations is generated on site by diesel-electric systems. The longer the operations take, the greater the diesel consumption, and the higher are costs and emissions. However, drilling time varies significantly from one...
