A shooting reproducing kernel Hilbert space method for multiple solutions of nonlinear boundary value problems. - Saeid Abbasbandy; Babak Azarnavid; Mohammed S. Alhuthali (J. Comput. Appl. Math., 2015)

Some error estimates for the reproducing kernel Hilbert spaces method. - Saeid Abbasbandy; Babak Azarnavid (J. Comput. Appl. Math., 2016)

An iterative kernel based method for fourth order nonlinear equation with nonlinear boundary condition. - Babak Azarnavid; Kourosh Parand; Saeid Abbasbandy (Commun. Nonlinear Sci. Numer. Simul., 2018)

An iterative reproducing kernel method in Hilbert space for the multi-point boundary value problems. - Babak Azarnavid; Kourosh Parand (J. Comput. Appl. Math., 2018)

Imposing various boundary conditions on positive definite kernels. - Babak Azarnavid; Mohammad Nabati; Mahdi Emamjome; Kourosh Parand (Appl. Math. Comput., 2019)

A reproducing kernel Hilbert space approach in meshless collocation method. - Babak Azarnavid; Mahdi Emamjome; Mohammad Nabati; Saeid Abbasbandy (Comput. Appl. Math., 2019)

An iterative multistep kernel based method for nonlinear Volterra integral and integro-differential equations of fractional order. - Mojgan Heydari; Elyas Shivanian; Babak Azarnavid; Saeid Abbasbandy (J. Comput. Appl. Math., 2019)

A reproducing kernel Hilbert space pseudospectral method for numerical investigation of a two-dimensional capillary formation model in tumor angiogenesis problem. - Mahdi Emamjome; Babak Azarnavid; Hadi Roohani Ghehsareh (Neural Comput. Appl., 2019)

The Bernoulli polynomials reproducing kernel method for nonlinear Volterra integro-differential equations of fractional order with convergence analysis. - Babak Azarnavid (Comput. Appl. Math., 2023)

An efficient iterative method for multi-order nonlinear fractional differential equations based on the integrated Bernoulli polynomials. - Babak Azarnavid; Mahdi Emamjomeh; Mohammad Nabati; Abdollah Dinmohammadi (Comput. Appl. Math., 2024)

Numerical simulation of nonlinear fractional integro-differential equations on two-dimensional regular and irregular domains: RBF partition of unity. - Mojtaba Fardi; Babak Azarnavid; Soheila Mohammadi (Comput. Math. Appl., 2025)

A fast method based on variable time steps for 2D nonlinear time-fractional generalized Benjamin-Bona-Mahony-Burgers equation: Error and stability analysis. - Mojtaba Fardi; Soheila Mohammadi; Babak Azarnavid (J. Comput. Sci., 2025)

A study on the numerical solution of the Sobolev equation with a Burgers-type nonlinearity on two-dimensional irregular domains using the local RBF partition of unity method. - Mojtaba Fardi; Babak Azarnavid (Comput. Appl. Math., 2025)