A novel technique to control the accuracy of a nonlinear fractional order model of COVID-19: application of the CESTAC method and the CADNA library
In this paper, a nonlinear fractional order model of COVID-19 is approximated. For this aim,
at first we apply the Caputo–Fabrizio fractional derivative to model the usual form of the …
at first we apply the Caputo–Fabrizio fractional derivative to model the usual form of the …
The numerical validation of the adomian decomposition method for solving volterra integral equation with discontinuous kernels using the CESTAC method
The aim of this paper is to present a new method and the tool to validate the numerical
results of the Volterra integral equation with discontinuous kernels in linear and non-linear …
results of the Volterra integral equation with discontinuous kernels in linear and non-linear …
Advancements in number representation for high-precision computing
H Mora, MT Signes-Pont, FAP López… - The Journal of …, 2024 - Springer
Efficient representation of data is a fundamental prerequisite for addressing computational
problems effectively using computers. The continual improvement in methods for …
problems effectively using computers. The continual improvement in methods for …
Error estimation of the homotopy perturbation method to solve second kind Volterra integral equations with piecewise smooth kernels: Application of the CADNA …
This paper studies the second kind linear Volterra integral equations (IEs) with a
discontinuous kernel obtained from the load leveling and energy system problems. For …
discontinuous kernel obtained from the load leveling and energy system problems. For …
Dynamical strategy on homotopy perturbation method for solving second kind integral equations using the CESTAC method
In this research, an efficient scheme is presented to validate the numerical results and solve
the second kind integral equations (IEs). For this reason the homotopy perturbation method …
the second kind integral equations (IEs). For this reason the homotopy perturbation method …
[HTML][HTML] Valid implementation of Sinc-collocation method to solve the fuzzy Fredholm integral equation
The main purpose of this work is to validate the numerical solution of fuzzy Fredholm integral
equation (IE) by applying the Sinc-collocation method (S-CM) based on the double …
equation (IE) by applying the Sinc-collocation method (S-CM) based on the double …
A comparative study between discrete stochastic arithmetic and floating-point Arithmetic to validate the results of fractional order model of malaria infection
The researchers aimed to study the nonlinear fractional order model of malaria infection
based on the Caputo-Fabrizio fractional derivative. The homotopy analysis transform …
based on the Caputo-Fabrizio fractional derivative. The homotopy analysis transform …
Adaptive multi-objective evolutionary algorithms for overtime planning in software projects
Software engineering and development is well-known to suffer from unplanned overtime,
which causes stress and illness in engineers and can lead to poor quality software with …
which causes stress and illness in engineers and can lead to poor quality software with …
rpe v5: an emulator for reduced floating-point precision in large numerical simulations
This paper describes the rpe (reduced-precision emulator) library which has the capability to
emulate the use of arbitrary reduced floating-point precision within large numerical models …
emulate the use of arbitrary reduced floating-point precision within large numerical models …
Auto-tuning for floating-point precision with Discrete Stochastic Arithmetic
The type length chosen for floating-point numbers (eg 32 bits or 64 bits) may have an impact
on the execution time, especially on SIMD (Single Instruction Multiple Data) units …
on the execution time, especially on SIMD (Single Instruction Multiple Data) units …