An approximation algorithm for the solution of the nonlinear Lane–Emden type equations arising in astrophysics using Hermite functions collocation method K Parand, M Dehghan, AR Rezaei, SM Ghaderi Computer Physics Communications 181 (6), 1096-1108, 2010 | 298 | 2010 |
Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane–Emden type K Parand, M Shahini, M Dehghan Journal of Computational Physics 228 (23), 8830-8840, 2009 | 201 | 2009 |
Rational Legendre approximation for solving some physical problems on semi-infinite intervals K Parand, M Razzaghi Physica scripta 69 (5), 353, 2004 | 135 | 2004 |
Numerical solution of nonlinear Volterra–Fredholm–Hammerstein integral equations via collocation method based on radial basis functions K Parand, JA Rad Applied Mathematics and Computation 218 (9), 5292-5309, 2012 | 128 | 2012 |
Rational Chebyshev tau method for solving higher-order ordinary differential equations K Parand, M Razzaghi International Journal of Computer Mathematics 81 (1), 73-80, 2004 | 118 | 2004 |
Rational Chebyshev tau method for solving Volterra’s population model K Parand, M Razzaghi Applied Mathematics and Computation 149 (3), 893-900, 2004 | 106 | 2004 |
Sinc-collocation method for solving astrophysics equations K Parand, A Pirkhedri New Astronomy 15 (6), 533-537, 2010 | 100 | 2010 |
Pricing European and American options by radial basis point interpolation JA Rad, K Parand, LV Ballestra Applied Mathematics and Computation 251, 363-377, 2015 | 89 | 2015 |
A novel application of radial basis functions for solving a model of first-order integro-ordinary differential equation K Parand, S Abbasbandy, S Kazem, JA Rad Communications in Nonlinear Science and Numerical Simulation 16 (11), 4250-4258, 2011 | 79 | 2011 |
Sinc-collocation method for solving the Blasius equation K Parand, M Dehghan, A Pirkhedri Physics Letters A 373 (44), 4060-4065, 2009 | 78 | 2009 |
Radial basis functions methods for solving Fokker–Planck equation S Kazem, JA Rad, K Parand Engineering Analysis with Boundary Elements 36 (2), 181-189, 2012 | 75 | 2012 |
Rational Chebyshev pseudospectral approach for solving Thomas–Fermi equation K Parand, M Shahini Physics Letters A 373 (2), 210-213, 2009 | 75 | 2009 |
Numerical solution of fractional differential equations with a Tau method based on Legendre and Bernstein polynomials JA Rad, S Kazem, M Shaban, K Parand, A Yildirim Mathematical Methods in the Applied Sciences 37 (3), 329-342, 2014 | 72 | 2014 |
Rational scaled generalized Laguerre function collocation method for solving the Blasius equation K Parand, A Taghavi Journal of Computational and Applied Mathematics 233 (4), 980-989, 2009 | 72 | 2009 |
Accurate solution of the Thomas–Fermi equation using the fractional order of rational Chebyshev functions K Parand, M Delkhosh Journal of Computational and Applied Mathematics, 2017 | 71 | 2017 |
The Sinc-collocation method for solving the Thomas–Fermi equation K Parand, M Dehghan, A Pirkhedri Journal of Computational and Applied Mathematics 237 (1), 244-252, 2013 | 70 | 2013 |
Lagrangian method for solving Lane–Emden type equation arising in astrophysics on semi-infinite domains K Parand, AR Rezaei, A Taghavi Acta Astronautica 67 (7-8), 673-680, 2010 | 67 | 2010 |
A single layer fractional orthogonal neural network for solving various types of Lane–Emden equation AH Hadian-Rasanan, D Rahmati, S Gorgin, K Parand New Astronomy 75, 101307, 2020 | 63 | 2020 |
Application of Bessel functions for solving differential and integro-differential equations of the fractional order K Parand, M Nikarya Applied Mathematical Modelling 38 (15-16), 4137-4147, 2014 | 63 | 2014 |
Solution of a laminar boundary layer flow via a numerical method K Parand, M Shahini, M Dehghan Communications in Nonlinear Science and Numerical Simulation 15 (2), 360-367, 2010 | 59 | 2010 |