A computational method for solving one-dimensional variable-coefficient Burgers equation. - Minggen Cui; Fazhan Geng (Appl. Math. Comput., 2007)

Solving singular nonlinear second-order periodic boundary value problems in the reproducing kernel space. - Fazhan Geng; Minggen Cui (Appl. Math. Comput., 2007)

A computational method for solving third-order singularly perturbed boundary-value problems. - Minggen Cui; Fazhan Geng (Appl. Math. Comput., 2008)

Numerical solution of a system of fourth order boundary value problems using variational iteration method. - Fazhan Geng; Yingzhen Lin (Appl. Math. Comput., 2008)

A new reproducing kernel Hilbert space method for solving nonlinear fourth-order boundary value problems. - Fazhan Geng (Appl. Math. Comput., 2009)

Solving singular second order three-point boundary value problems using reproducing kernel Hilbert space method. - Fazhan Geng (Appl. Math. Comput., 2009)

Application of the variational iteration method to inverse heat source problems. - Fazhan Geng; Yingzhen Lin (Comput. Math. Appl., 2009)

A piecewise variational iteration method for Riccati differential equations. - Fazhan Geng; Yingzhen Lin; Minggen Cui (Comput. Math. Appl., 2009)

New method based on the HPM and RKHSM for solving forced Duffing equations with integral boundary conditions. - Fazhan Geng; Minggen Cui (J. Comput. Appl. Math., 2009)

A modified variational iteration method for solving Riccati differential equations. - Fazhan Geng (Comput. Math. Appl., 2010)

Solving a system of third-order boundary value problem using variational iteration method. - Fazhan Geng; Minggen Cui (Int. J. Comput. Math., 2010)

Multi-point boundary value problem for optimal bridge design. - Fazhan Geng; Minggen Cui (Int. J. Comput. Math., 2010)

Solving singular nonlinear boundary value problems by combining the homotopy perturbation method and reproducing kernel Hilbert space method. - Fazhan Geng; Minggen Cui (Int. J. Comput. Math., 2010)

A novel method for solving a class of singularly perturbed boundary value problems based on reproducing kernel method. - Fazhan Geng (Appl. Math. Comput., 2011)

A novel method for nonlinear two-point boundary value problems: Combination of ADM and RKM. - Fazhan Geng; Minggen Cui (Appl. Math. Comput., 2011)

Numerical solutions of Duffing equations involving both integral and non-integral forcing terms. - Fazhan Geng (Comput. Math. Appl., 2011)

A piecewise variational iteration method for treating a nonlinear oscillator of a mass attached to a stretched elastic wire. - Fazhan Geng (Comput. Math. Appl., 2011)

Homotopy perturbation-reproducing kernel method for nonlinear systems of second order boundary value problems. - Fazhan Geng; Minggen Cui (J. Comput. Appl. Math., 2011)

A reproducing kernel method for solving nonlocal fractional boundary value problems. - Fazhan Geng; Minggen Cui (Appl. Math. Lett., 2012)

Reproducing kernel method for singularly perturbed turning point problems having twin boundary layers. - Fazhan Geng; S. P. Qian (Appl. Math. Lett., 2013)

A new reproducing kernel method for linear nonlocal boundary value problems. - Fazhan Geng; S. P. Qian (Appl. Math. Comput., 2014)

Piecewise reproducing kernel method for singularly perturbed delay initial value problems. - Fazhan Geng; S. P. Qian (Appl. Math. Lett., 2014)

A numerical method for singularly perturbed turning point problems with an interior layer. - Fazhan Geng; Suping Qian; Shuai Li (J. Comput. Appl. Math., 2014)

Improved reproducing kernel method for singularly perturbed differential-difference equations with boundary layer behavior. - Fazhan Geng; Suping Qian; Minggen Cui (Appl. Math. Comput., 2015)

An optimal reproducing kernel method for linear nonlocal boundary value problems. - Fazhan Geng; S. P. Qian (Appl. Math. Lett., 2018)

Reproducing kernel function-based Filon and Levin methods for solving highly oscillatory integral. - Fazhan Geng; X. Y. Wu (Appl. Math. Comput., 2021)

Reproducing kernel functions based univariate spline interpolation. - Fazhan Geng; Xinyuan Wu (Appl. Math. Lett., 2021)

A novel kernel functions algorithm for solving impulsive boundary value problems. - Fazhan Geng; X. Y. Wu (Appl. Math. Lett., 2022)

Two energy-preserving Fourier pseudo-spectral methods and error estimate for the Klein-Gordon-Dirac system. - Feng Liao; Fazhan Geng; Tingchun Wang (Commun. Nonlinear Sci. Numer. Simul., 2023)

New collocation approaches based on reproducing kernel functions for second order nonlinear boundary value problems. - Fazhan Geng; W. J. Xing; X. Liu (Appl. Math. Lett., 2023)

Numerical solutions of Schrödinger-Boussinesq system by orthogonal spline collocation method. - Feng Liao; Fazhan Geng; Lingxing Yao (J. Comput. Appl. Math., 2024)

A sixth order kernel functions approach for nonlinear fourth order boundary value problems. - Fazhan Geng; C. N. Li; X. Y. Wu (J. Appl. Math. Comput., 2024)