Fasika Wondimu Gelu | Numerical Analysis | Best Researcher Award

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Assist. Prof. Dr. Fasika Wondimu Gelu | Numerical Analysis | Best Researcher Award

Research Publication Officer at Dilla University, Ethiopia

Dr. Fasika Wondimu Gelu is an accomplished Assistant Professor of Mathematics with specialized expertise in numerical analysis, particularly in the development of high-order numerical methods for solving singularly perturbed differential equations. His academic journey and professional dedication reflect a commitment to both teaching and cutting-edge research. Since joining Dilla University in 2015, he has contributed significantly to both the academic community and the broader field of computational mathematics through his teaching, publications, and service roles. As a highly driven researcher, he has supervised multiple postgraduate students and served as an external examiner, while also being actively involved in funded research projects. His work emphasizes the design and implementation of parameter-uniform numerical schemes for ordinary and partial differential equations with boundary layers and sharp gradients.

Profile

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Education

Dr. Fasika’s academic foundation is firmly rooted in mathematics and numerical analysis. He completed his Ph.D. in Mathematics at Jimma University in 2023, where he focused on constructing efficient numerical techniques for solving singularly perturbed problems. Prior to that, he earned his M.Sc. in Mathematics, also from Jimma University, in 2014, building a solid theoretical and practical base in numerical analysis. He began his academic journey with a Bachelor of Education in Mathematics from Dilla University in 2007. His continuous academic progression demonstrates his long-term commitment to mastering complex mathematical modeling and problem-solving.

Experience

With over a decade of teaching experience, Dr. Fasika has taught mathematics at various academic levels, from high school to university. Between 2000 E.C and 2005 E.C, he taught grades 9–12, laying the groundwork for his pedagogical expertise. He later worked as a part-time instructor at Gojeb Education & Training College and Infolink University College. Since 2015, he has been a full-time faculty member at Dilla University, where he currently serves as an Assistant Professor. Beyond teaching, he has played a key administrative role as the Research Publication Officer in the Research Publication, Ethics, and Dissemination Directorate at the university. His experience includes supervising five M.Sc. theses and examining postgraduate research at both local and international institutions.

Research Interest

Dr. Fasika’s primary research interests revolve around the numerical solution of singularly perturbed problems, including ordinary differential equations (ODEs), partial differential equations (PDEs), and delay differential equations. His research aims to construct high-order compact and hybrid schemes that deliver accurate solutions for problems characterized by boundary layers and steep gradients. He utilizes finite difference, finite element, and spline-based methods to address parameter-sensitive models in convection-diffusion, reaction-diffusion, and delay-type equations. His contributions are especially significant in developing uniformly convergent numerical techniques on layer-adapted meshes, such as Shishkin meshes, which are critical in handling the computational complexity of singular perturbation problems.

Award

Throughout his career, Dr. Fasika has earned several accolades and certifications recognizing his scholarly impact and contributions to mathematics. He has been awarded certificates of review by prestigious journals including the Journal of Applied Mathematics and Computing (Springer), Results in Applied Mathematics (Elsevier), and Applied Mathematics & Information Sciences. These certificates underscore his active engagement with the academic community as a reviewer, reflecting the trust leading publishers place in his expertise. His involvement in IEEE Authorship and Open Access Symposium also highlights his commitment to academic integrity and the promotion of open research practices.

Publication

Dr. Fasika has published extensively, with over 19 peer-reviewed articles in renowned journals. Below are seven key publications that demonstrate his research impact:

  1. “A uniformly convergent collocation method for singularly perturbed delay parabolic reaction-diffusion problem” – Abstract and Applied Analysis, 2021. This paper has been cited in subsequent work on delay PDEs using collocation methods.

  2. “Computational method for singularly perturbed parabolic reaction-diffusion equations with Robin boundary conditions” – Journal of Applied Mathematics & Informatics, 2022. This work is frequently cited in studies focusing on Robin-type boundary conditions.

  3. “A novel numerical approach for singularly perturbed parabolic convection-diffusion problems on layer-adapted meshes” – Research in Mathematics, 2022. This article is recognized for its effective use of Shishkin meshes and has influenced related research in parabolic PDEs.

  4. “A parameter-uniform numerical method for singularly perturbed Robin type parabolic convection-diffusion turning point problems” – Applied Numerical Mathematics, 2023. It stands out for addressing turning points in convection-diffusion scenarios and is widely referenced.

  5. “Hybrid method for singularly perturbed Robin type parabolic convection-diffusion problems on Shishkin mesh” – Partial Differential Equations in Applied Mathematics, 2023. This paper has been cited in recent developments of hybrid numerical techniques.

  6. “An accelerated numerical computation for singularly perturbed Robin-type parabolic problems with small parameters” – Research in Mathematics, 2024. Frequently referenced in ongoing research concerning small-parameter numerical stability.

  7. “Fitted mesh numerical method for two-parameter singularly perturbed partial differential equations with large time lag” – Partial Differential Equations in Applied Mathematics, 2024. Noted for its contribution to two-parameter perturbation theory and time-lag models.

Conclusion

Dr. Fasika Wondimu Gelu exemplifies the synthesis of academic rigor and applied problem-solving in numerical analysis. His journey from a school teacher to a respected researcher and assistant professor underscores his resilience and dedication to mathematics. With a growing list of high-quality publications and an ongoing pursuit of collaborative and postdoctoral opportunities, Dr. Fasika is poised to make further impactful contributions to computational mathematics. His work not only advances theoretical understanding but also offers practical tools for solving complex real-world systems modeled by differential equations.