| ۱ | Numerical solution of different population balance models using operational method based on Genocchi polynomials | Lotfi M. | Computational Methods for Differential Equations | 2025 |
| ۲ | The Müntz spectral element method for the numerical solutions of regularized long wave equation | Lotfi M., Alipanah A. | Franklin Open | 2025 |
| ۳ | A new approximation method for PDE constraint optimal control problem solutions | Lotfi M. | Boletim da Sociedade Paranaense de Matematica | 2025 |
| ۴ | Legendre spectral element and backward Euler methods for solving a family of stochastic partial differential equations | محمود لطفی | mathematical analysis and convex optimization | 2022 |
| ۵ | Legendre spectral element method for solving Volterra-integro differential equations | Lotfi M., Alipanah A. | Results in Applied Mathematics | 2020 |
| ۶ | Legendre spectral element method for solving sine-Gordon equation | Lotfi M., Alipanah A. | Advances in Difference Equations | 2019 |
| ۷ | Using Legendre spectral element method with Quasi-linearization method for solving Bratu’s problem | Lotfi M., Alipanah A. | Computational Methods for Differential Equations | 2019 |
| ۸ | بررسی روش برگمن مجزا در حل مساله کنترل بهینه با قید مشتقات بیضوی | محمود لطفی، سید محمد حسینی | نشریه علوم دانشگاه خوارزمی | 1393 |
| ۹ | Numerical solution of different population balance models using operational method based on Genocchi polynomials | محمود لطفي | Computational Methods for Differential Equations | 2025 |
| ۱۰ | The Müntz spectral element method for the numerical solutions of regularized long wave equation | محمود لطفي, امجد علي پناه | Franklin Open | 2025 |
| ۱۱ | A new approximation method for PDE constraint optimal control problem solutions | محمود لطفي | Boletim da Sociedade Paranaense de Matemática | 2025 |
| ۱۲ | Legendre spectral element method for solving Volterra-integro differential equations | محمود لطفي، امجد علي پناه | Results in Applied Mathematics | 2020 |
| ۱۳ | Discontinuous Galerkin Spectral Element Method for Solving Population Balance Differential Equations | محمود لطفي | International Journal of Mathematical Models and Methods in Applied Sciences | 2020 |
| ۱۴ | Using Legendre spectral element method with Quasi-linearization method for solving Bratu's problem | محمود لطفي, امجد علي پناه | Computational Methods for Differential Equations | 2019 |
| ۱۵ | Legendre spectral element method for solving sine-Gordon equation | محمود لطفي, امجد علي پناه | Advances in Difference Equations | 2019 |
