Publications
Proceedings
1. “A fast numerical method for solving fractional order differential equation with the Atangana-Baleanu operator and its applications”,
2. “Mapping techniques with collocation method for time-fractional convection-diffusion equations in domains with cracks and/or corners”
Published
1. “An efficient numerical approach for solving two-point fractional order nonlinear boundary value problems with Robin boundary conditions”, Advances in Difference Equations 2021, 193 (2021), https://doi.org/10.1186/s13662-021-03355-3
2. “Fast high-order numerical method for solving nonlinear fractional differential equations with non-singular kernel”, Applied Numerical Mathematics 163, 57-76, 2021
3. “Shifted Jacobi spectral-Galerkin method for fractional order initial value problems”, J. of Computational and Applied Mathematics 380 (15), 112988, 2020.
4. “New explicit and accelerated techniques for solving fractional order differential equations”, Applied Mathematics and Computation 379 (15), 125228, 2020.
5. “Enhanced semi-analytic method for solving nonlinear differential equations of fractional order", J. KSIAM, 23 (4), 283–300, 2019.
6. “Patchwise mapping method for solving elliptic boundary value problems containing multiple singularities”, Journal of Applied Mathematics and Physics 7 (7), 2019
7. “Implicitly enriched Galerkin methods for numerical solutions of fourth order partial differential equations containing singularities”, Numerical Methods for Partial Differential Equations 34 (6), 2079-2112, 2018
8. “Partition of unity isogeometric analysis of two dimensional elliptic singular perturbation problems”, J. Comput. Mech., 58(6), 1019-1038, 2016
9. “Enriched isogeometric analysis of elliptic boundary value problems in domains with cracks and/or corners”, Int. J. Numer. Meth. Engng. 97 (3), 149-180, 2014
10. “Mapping Techniques for Isogeometric Analysis of Elliptic Boundary Value Problems Containing Singularities”, Comput. Methods. Appl. Mech. Engrg., 254, 334-352, 2013
11. “Patchwise Reproducing Polynomial Particle Method for Thick Plates: bending, free vibration, and buckling”, J. KSIAM, 17 (2), 901-919, 2013