| Numerical solutions of elliptic partial differential equations using Chebyshev polynomials BK Ghimire, HY Tian, AR Lamichhane Computers & Mathematics with Applications 72 (4), 1042-1054, 2016 | 34 | 2016 |
| The closed-form particular solutions for Laplace and biharmonic operators using a Gaussian function AR Lamichhane, CS Chen Applied Mathematics Letters 46, 50-56, 2015 | 29 | 2015 |
| The adaptive algorithm for the selection of sources of the method of fundamental solutions J Lin, AR Lamichhane, CS Chen, J Lu Engineering Analysis with Boundary Elements 95, 154-159, 2018 | 15 | 2018 |
| Fast method of approximate particular solutions using Chebyshev interpolation AR Lamichhane, DL Young, CS Chen Engineering Analysis with Boundary Elements 64, 290-294, 2016 | 12 | 2016 |
| Hybrid Chebyshev polynomial scheme for solving elliptic partial differential equations BK Ghimire, X Li, CS Chen, AR Lamichhane Journal of Computational and Applied Mathematics 364, 112324, 2020 | 10 | 2020 |
| Particular solutions of Laplace and bi-harmonic operators using Matérn radial basis functions AR Lamichhane, CS Chen International Journal of Computer Mathematics 94 (4), 690-706, 2017 | 8 | 2017 |
| The closed-form particular solutions for the Laplace operator using oscillatory radial basis functions in 2D AR Lamichhane, BK Ghimire, Y Wakayama, A Sube Engineering Analysis with Boundary Elements 96, 187-193, 2018 | 6 | 2018 |
| Localized oscillatory radial basis functions collocation method for solving elliptic partial differential equations in 2D AR Lamichhane, BK Ghimire, T Dangal Partial Differential Equations in Applied Mathematics 7, 100493, 2023 | 5 | 2023 |
| Localized method of particular solutions using polynomial basis functions for solving two-dimensional nonlinear partial differential equations T Dangal, BK Ghimire, AR Lamichhane Partial Differential Equations in Applied Mathematics 4, 100114, 2021 | 4 | 2021 |
| Optical properties of organic inorganic metal halide perovskite for photovoltaics KP Bhandari, A Lamichhane, T Maenle, E Bastola, RJ Ellingson 2019 IEEE 46th Photovoltaic Specialists Conference (PVSC), 0359-0362, 2019 | 4 | 2019 |
| Improving Numerical Accuracy of the Localized Oscillatory Radial Basis Functions Collocation Method for Solving Elliptic Partial Differential Equations in 2D A Lamichhane, B Khatri Ghimire, T Dangal Mathematics 11 (22), 4690, 2023 | 2 | 2023 |
| Meshless method of approximate particular solution for an initial and boundary value problem of the Korteweg–de Vries type equation and eventual periodicity M Usman, M Uddin, A Lamichhane, SH Shah Partial Differential Equations in Applied Mathematics 4, 100088, 2021 | 2 | 2021 |
| Polynomial particular solutions for finding critical domains for quenching problems ARL T Dangal, B Khatri Ghimire International Journal of Numerical Methods and Applications 19 (2), 143-158, 2020 | 2 | 2020 |
| Solving fourth-order partial differential equations using radial basis function collocation methods BK Ghimire, AR Lamichhane, D Watson, Z Zhou Neural, Parallel, and Scientific Computations 25, 91-106, 2017 | 2 | 2017 |
| Fast method of particular solutions for solving partial differential equations AR Lamichhane The University of Southern Mississippi, 2016 | 2 | 2016 |
| The closed-form particular solutions of the Poisson¢s equation in 3D with the oscillatory radial basis functions in the forcing term AR Lamichhane, S Manns, Q Aiken, A Murray Engineering Analysis with Boundary Elements 152, 148-153, 2023 | | 2023 |
| Derivation of the (Closed-Form) Particular Solution of the Poisson¢s Equation in 3D Using Oscillatory Radial Basis Function AR Lamichhane, S Manns Proceedings of the 2019 Undergraduate Mathematics Day, 2020 | | 2020 |
| Dynamics of the Exponential maps on their escaping sets AR Lamichhane | | 2011 |
| Fast oscillatory radial basis functions collocation method AR Lamichhane 2024 Joint Mathematics Meetings (JMM 2024), 0 | | |
| Localized oscillatory radial basis functions collocation method using augmented polynomials for solving elliptic partial differential equations TR Dangal, AR Lamichhane, BK Ghimire 2024 Joint Mathematics Meetings (JMM 2024), 0 | | |
Balaram Khatri GhimireAssociate Professor of Mathematics, Alabama State UniversityVerified email at alasu.edu
