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Applied Mathematics (Numerical Analysis)
Academic Rank: Assistant Professor
Level of Education : PhD
Faculty :Basic Sciences & Engineering
Group :Mathematics & Statistics
| Educational Records | |||
| Degree | B.Sc. | M.Sc. | Ph.D. |
| Field | Applied Mathematics | Computer Sciences | Applied Mathematics (Numerical Analysis) |
| Institute | Mazandaran University | Shahid Beheshti University | Amirkabir University of Technology |
| City | Babolsar | Tehran | Tehran |
| Date | 2006 | 2008 | 2014 |
| Dissertation Title | Using Orthogonal Rational Functions to Solve Dynamical Systems | Numerical Solution of Fractional Differential and Integral Equations Utilizing Rational Functions | |
| Contact Information | |
| Address: | Department of Mathematics & Statistics, Facualty of Basic Sciences and Engineering, Gonbad Kavous University, Basirat Blvd., Shahid Fallahi Street, Gonbad Kavous, Golestan Province, Iran |
| Postcode: | 4971799151 |
| Phone: | +989358801598 |
| E-mail: | mehdi.shahini@chmail.ir |
| mehdi.shahini@gonbad.ac.ir | |
| Soroush App: | http://sapp.ir/dr.shahini |
| Scientific IDs |
| No. | Title | Authors | Pub. Date | Journal | Vol. (No.) | Pages | Publisher | Link |
| 1 | Rational Chebyshev pseudospectral approach for solving Thomas-Fermi equation | K. Parand, M. Shahini |
2009 | Physics Letters A | 373 | 210-213 | Elsevier | ✓ |
| ۲ | Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane-Emden type | K. Parand, M. Shahini, M. Dehghan |
2009 | Journal of Computational Physics | 228 | 8830-8840 | Elsevier | ✓ |
| ۳ | Comparison between rational Chebyshev and modified generalized Laguerre functions pseudospectral methods for solving Lane-Emden and unsteady gas equation | K. Parand, A. Taghavi, M. Shahini |
2009 | Acta Physica Polonica B | 40 (6) | 1749-1763 | Jagiellonian University | ✓ |
| ۴ | Generalized Laguerre polynomials and rational Chebyshev collocation method for solving unsteady gas equation | K. Parand, M. Shahini, A. Taghavi |
2009 | International Journal of Contemporary Mathematical Sciences | 4 (21) | 1005-1011 | Hikari Ltd. | ✓ |
| ۵ | Rational Chebyshev collocation method for solving nonlinear ordinary differential equations of Lane-Emden type | K. Parand, M. Shahini |
2010 | International Journal of Information and Systems Sciences | 6 (1) | 72-83 | Institute for Scientific Computing and Information | ✓ |
| ۶ | Solution of a laminar boundary layer flow via a numerical method | K. Parand, M. Shahini, M. Dehghan |
2010 | Communications in Nonlinear Science and Numerical Simulation | 15 | 360-367 | Elsevier | ✓ |
| ۷ | Rational approximations for solving differential equations of fractional order on semi-infinite interval | M. Shahini, H. Adibi |
2014 | Applied and Computational Mathematics | 13 (3) | 366-375 | Azerbaijan National Academy of Sciences | ✓ |
| ۸ | Rational pseudospectral approximation to the solution of a nonlinear integro-differential equation arising in modeling of the population growth | M. Dehghan, M. Shahini |
2015 | Applied Mathematical Modelling | 39 (18) | 5521-5530 | Elsevier | ✓ |
| ۹ | New basis for solving fractional order models on semi-infinite intervals | M. Shahini, H. Adibi |
2016 | Applied Mathematics & Information Sciences | 10 (3) | 1027-1033 | Natural Sciences Publishing Cor. | ✓ |
| ۱۰ | Transformed Legendre spectral method for solving infinite horizon optimal control problems | M. Shahini, M.A. Mehrpouya |
2018 | IMA Journal of Mathematical Control and Information | Oxford University Press | ✓ |
| No. | Article Title | Authors | Pub. Date | Book Title | Vol. | Pages | Publisher | Link |
| 1 | New method for solving a nonlinear ordinary differential equation | K. Parand, M. Dehghan, M. Shahini |
2010 | Nonlinear Functional Analysis and Applications | 2 | Nova Science Publishers, Inc. | ✓ |
| Weekly Schedule | |||||
|---|---|---|---|---|---|
| 8-10 | 10-12 | 12-13 | 13-15 | 15-17 | |
| Saturday | Calculus 2 Room 11 |
Advanced Programming Computer Site |
Pray Time | Calculus 2 Room 11 |
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| Sunday | Calculus 2 Room 11 |
Advanced Programming Computer Site |
Pray Time | Foundations of Combinations Room 10 |
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| Monday | Research | Research | Pray Time | Research | --- |
| Tuesday | Foundations of Combinations Room 10 |
Foundations of Numerical Analysis Room 14 |
Pray Time | Foundations of Numerical Analysis Room 14 |
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| Wednesday | Research | Research | Pray Time | Research | --- |
| Thursday | --- | --- | --- | --- | --- |
| Numerical Analysis | Nyumerical Linear Algebra | Numerical Computations | Discrete Mathematic | |||
| Combination Fundamentals | Operation Research | Computer Fundamentals and Algorithms | Advanced Programming | |||
| Data Structures | Calculus |