Numeical analysis at University of Tabriz
Short Bio
Dr. Jalil Manafian is a dedicated researcher and educator specializing in applied mathematics, with a focus on numerical methods and analytical techniques for solving differential equations. With a Ph.D. from Tabriz University and an M.Sc. and B.Sc. from Amirkabir University of Technology, he has contributed extensively to research in mathematical modeling, numerical linear algebra, and expansion methods. His work spans a variety of advanced mathematical techniques, including homotopy analysis, wavelet methods, and integral transforms. As a lecturer and researcher, he has guided numerous students and contributed to the advancement of computational mathematics.
Professional Profile
Educational Background
- Ph.D. in Applied Mathematics, Tabriz University
Thesis: “Modified expansion methods for solving some partial differential equations”
Supervisor: Prof. Mehrdad Lakestani
- M.Sc. in Applied Mathematics, Amirkabir University of Technology
Thesis: “Application of semi-analytical method for solving Volterra integral equation”
Supervisor: Prof. Mehdi Dehghan
- B.Sc. in Applied Mathematics, Amirkabir University of Technology
Professional Experience
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Dr. Jalil Manafian has extensive experience in academia and research in applied mathematics. He served as a Lecturer in the Mathematics Department at Islamic Azad University, Ahar Branch (2011-2012) and in the Science Department at Islamic Azad University, Heris Branch (2011-2012). Additionally, he has lectured at Tabriz University. His teaching portfolio includes engineering mathematics, numerical analysis, linear algebra, ordinary differential equations, probability and statistics, computational mathematics, and applied mathematics at both undergraduate and graduate levels.
Author Metrics
- Dr. Manafian has authored multiple research papers in high-impact journals, focusing on numerical and analytical methods for solving complex differential equations. His work is widely cited in mathematical and computational research communities, reflecting his significant contributions to the field.
Research Interests
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- Numerical linear algebra, numerical analysis, finite difference method
- Variational calculus, variational iteration method
- Homotopy analysis method, homotopy perturbation method
- Wavelet analysis method, optimal homotopy asymptotic method
- Differential transform method, integral transforms
- Bilinear method, Hirota method, Hirota bilinear method
- Expansion methods: Exp-function method, (G’/G)-expansion method, Laplace Elzaki transform method, tan(∅)-expansion method, tanh(∅)-expansion method, tanh-coth method, radial basis function, block pulse functions
- Extended trial equation method, inverse scattering method
- Riccati-Bernoulli method, Lie symmetry method
- Energy systems
Publication Top Noted
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- “Abundant soliton wave solutions for the (3+1)-dimensional variable-coefficient nonlinear wave equation in liquid with gas bubbles by bilinear analysis”
Modern Physics Letters B, 2022 – DOI: 10.1142/S0217984921505655
- “Abundant soliton wave solutions and the linear superposition principle for generalized (3+1)-D nonlinear wave equation in liquid with gas bubbles by bilinear analysis”
Results in Physics, 2022 – DOI: 10.1016/j.rinp.2021.105066
- “N‐Lump to the (2+1)‐Dimensional Variable‐Coefficient Caudrey–Dodd–Gibbon–Kotera–Sawada Equation”
Complexity, 2022 – DOI: 10.1155/2022/4383100
- “New strategic method for fractional mitigating internet bottleneck with quadratic–cubic nonlinearity”
Mathematical Sciences, 2021 – DOI: 10.1007/s40096-020-00373-2
- “Lump and Interaction Solutions to the (3+1)-Dimensional Variable-Coefficient Nonlinear Wave Equation with Multidimensional Binary Bell Polynomials”
Journal of Function Spaces, 2021 – DOI: 10.1155/2021/4550582
Conclusion
Prof. Jalil Manafian is a strong candidate for the Best Researcher Award due to his high-quality research, impactful publications, and expertise in applied mathematics. His significant contributions to numerical analysis, differential equations, and computational techniques make him a notable figure in his field.
To further strengthen his candidacy, increased international collaborations, industry applications, and research leadership roles would enhance his overall research impact. Nonetheless, his strong publication record and mathematical advancements make him a deserving nominee for the award.