Arar Nouria

Research topics

• 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

Publications 19

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1. A Chelyshkov-based spectral homotopy analysis method for singular nonlinear Lane–Emden-type equations 2026 · Networks and Heterogeneous Media
2. 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
3. Numerical Solution of the Burgers’ Equation Using Chelyshkov Polynomials 2024 · International Journal of Applied and Computational Mathematics · 10 citation(s)
4. 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 citation(s)
5. 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 citation(s)
6. B-splines Numerical Simulation of Bernouilli’s Beam Equation 2024 · Lecture notes in networks and systems
7. B-Spline Collocation Method for the Fourth-Order Dynamic Beam Equation 2024 · Lecture notes in networks and systems
8. Caputo-Fabrizio type fractional differential equations with non-instantaneous impulses: Existence and stability results 2023 · Alexandria Engineering Journal · 15 citation(s)
9. 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 citation(s)
10. Theoretical and Numerical Study for Volterra−Fredholm Fractional Integro-Differential Equations Based on Chebyshev Polynomials of the Third Kind 2023 · Complexity · 5 citation(s)
11. 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 citation(s)
12. 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 citation(s)
13. Existence of a Generalized Solution for the Fractional Contact Problem 2023 · Journal of Mathematics · 2 citation(s)
14. Highly Efficacious Sixth-Order Compact Approach with Nonclassical Boundary Specifications for the Heat Equation 2022 · Mathematical Problems in Engineering · 2 citation(s)
15. 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 citation(s)
16. Legendre-Galerkin approximation for the advection-diffusion equation 2022 · AIP conference proceedings
17. Rational approximation of the head equation in unbounded domain 2019 · Bulletin of the "Transilvania" University of Braşov. Series III, Mathematics and Computer Science
18. Discretization by rational and quasi-rational functions of multi-dimensional elliptic problems in the whole space 2015 · ESAIM Mathematical Modelling and Numerical Analysis · 4 citation(s)
19. Eigenfunctions of a weighted Laplace operator in the whole space 2012 · Journal of Mathematical Analysis and Applications · 6 citation(s)