Arar Nouria

مواضيع البحث

• Numerical methods for differential equations
• Mathematical functions and polynomials
• Differential Equations and Boundary Problems
• Fractional Differential Equations Solutions
• Advanced Numerical Methods in Computational Mathematics

ORCID

• 0000-0002-6051-8237

المنشورات 19

ترتيب حسب : التاريخ · الاستشهادات

1. Caputo-Fabrizio type fractional differential equations with non-instantaneous impulses: Existence and stability results 2023 · Alexandria Engineering Journal · 15 استشهاد
2. Numerical Solution of the Burgers’ Equation Using Chelyshkov Polynomials 2024 · International Journal of Applied and Computational Mathematics · 10 استشهاد
3. Novel highly dispersive soliton solutions in couplers for optical metamaterials: leveraging generalized Kudryashov’s Law of refractive index with eighth-order dispersion and multiplicative white noise 2024 · Physica Scripta · 8 استشهاد
4. Numerical Investigation of Fredholm Fractional Integro-differential Equations by Least Squares Method and Compact Combination of Shifted Chebyshev Polynomials 2023 · Journal of Nonlinear Mathematical Physics · 7 استشهاد
5. Eigenfunctions of a weighted Laplace operator in the whole space 2012 · Journal of Mathematical Analysis and Applications · 6 استشهاد
6. Theoretical and Numerical Study for Volterra−Fredholm Fractional Integro-Differential Equations Based on Chebyshev Polynomials of the Third Kind 2023 · Complexity · 5 استشهاد
7. A Higher‐Order Improved Runge–Kutta Method and Cubic B‐Spline Approximation for the One‐Dimensional Nonlinear RLW Equation 2023 · Mathematical Problems in Engineering · 4 استشهاد
8. Discretization by rational and quasi-rational functions of multi-dimensional elliptic problems in the whole space 2015 · ESAIM Mathematical Modelling and Numerical Analysis · 4 استشهاد
9. Enhanced numerical resolution of the Duffing and Van der Pol equations via the spectral homotopy analysis method employing chebyshev polynomials of the first kind 2024 · Journal of Applied Mathematics and Computing · 3 استشهاد
10. Efficient spectral Legendre Galerkin approach for the advection diffusion equation with constant and variable coefficients under mixed Robin boundary conditions 2023 · Advances in the Theory of Nonlinear Analysis and its Application · 2 استشهاد
11. Existence of a Generalized Solution for the Fractional Contact Problem 2023 · Journal of Mathematics · 2 استشهاد
12. Highly Efficacious Sixth-Order Compact Approach with Nonclassical Boundary Specifications for the Heat Equation 2022 · Mathematical Problems in Engineering · 2 استشهاد
13. Spectral Collocation Method for Handling Integral and Integrodifferential Equations of n-th Order via Certain Combinations of Shifted Legendre Polynomials 2022 · Mathematical Problems in Engineering · 2 استشهاد
14. A Chelyshkov-based spectral homotopy analysis method for singular nonlinear Lane–Emden-type equations 2026 · Networks and Heterogeneous Media
15. ADVANCING COMPUTATION IN SOLVING NON-HOMOGENEOUS PARABOLIC PROBLEM WITH NON-LINEAR INTEGRAL BOUNDARY CONDITIONS VIA THE CUBIC B-SPLINE METHOD 2025 · Van Yüzüncü Yıl University Academic Data Management System
16. B-splines Numerical Simulation of Bernouilli’s Beam Equation 2024 · Lecture notes in networks and systems
17. B-Spline Collocation Method for the Fourth-Order Dynamic Beam Equation 2024 · Lecture notes in networks and systems
18. Legendre-Galerkin approximation for the advection-diffusion equation 2022 · AIP conference proceedings
19. Rational approximation of the head equation in unbounded domain 2019 · Bulletin of the "Transilvania" University of Braşov. Series III, Mathematics and Computer Science