د. عبير الحربي
مجالات البحث في الرياضيات التطبيقية والرياضيات الحاسبة :الشبكات العصبية الصناعية، الخوارزميات الجينية، المعادلات التفاضلية.
Research areas include areas of Applied and Computational mathematics: Artificial Neural Networks, Genetic Algorithms, Differential equations
مواضيع الابحاث :
1-حل معادلة فيشر التفاضلية بطريقة ادومين باديه
2- حل نضام معادلات بطرق تحليلية
4-حل مسائل ديناميكية باستخدام دوال السلم المهتز
5- تاليف كتاب عن استخدام Matlab في الرياضيات
Research interest
1-Solving convective fisher equation by Adomian-pade
2-Classical dynamic problems and shaky-ladder hyperplane function
3-Solving a system of partial differential equations by Adomian-Pade
4- A book on Matlab Applications in mathematics
Publications
Abir Alharbi,"An Artificial neural network method for solving partial differntial equations",AIP american institute of physics,ICNAAM,vol 11281,Greece, 2010.
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Abir Alharbi, E.S. Fahmy, “ADM-Pade solutions for Generalized Burgers system and Burgers-Huxley system of two coupled equations”, Journal of Computational and Applied Mathematics, vol. 233,8,2071-2080,2010.
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§ Abir Alharbi, W. Rand, “The Shaky Ladder Hyperplane-Defined Functions and classical Dynamic problems”, International Journal of Computational Intelligence and Applications (IJCIA), 9,1,33-48,2010.
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Abir Alharbi, "A Recurrent net solution to the diffusion equation in the ECS of the brain", AIPR Confrernce July 13-16, 2009,Orlando,USA.
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Abir Alharbi, Ibtesam Bajunaid, E.S. Fahmy, “Numerical and analytical study for Generalized Burgers system and Burgers-Huxley system of two coupled equations”, submitted to the International Journal of Numerical methods and applications , vol.3,1,65-86,2010.
§ Abir Alharbi, E.S. Fahmy, “Approximate solutions for Time-Delayed Convective Fisher equation using ADM-Pade technique”, Asian-Eropean mathematics journal, World Scientific Publishing Co., 2010, vol. 3,No. 2 pp.221-233.
§ Abir Alharbi, E. Alahmadi, “A Neural Network method for the unsteady flow past a circular cylinder” , FEJAM, 2008, vol. 30, number 2, pp.245-264.
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§ Abir Alharbi, W. Rand, R. Rolio, “The Defined Cliffs variant in Dynamic Environment, A Case Study Using the Shaky Ladder Hyperplane-Defined Functions”, The Genetic and Evolutionary Computation Conference (GECCO-2007), ,University College London, London, ُEngland, United Kingdom, July 7-11, 2007.
§ Abir Alharbi, W. Rand, R. Rolio , “Understanding the Semantics of Genetic Algorithms in Dynamic Environments A case Study Using the Shaky Ladder Hyperplane-Defined Functions”, EvoSTOC2007, Fourth European Workshop on Evolutionary Algorithms in Stochastic and Dynamic Environments, incorporated in Evo* 2007, Valencia, Spain, 11-13 April, 2007.
§ Abir Alharbi, PhD Thesis “A Neurocomputing Approach for solving Partial Differential Equations", Florida institute of technology, Melbourne, Florida, 1997.
Current Research
§ “Mathematics with Matlab” a book to be published 2010.
