درباره من:
تاریخ و محل تولد: 1360-اردبیل
اشتغال: استادیار-دانشگاه محقق اردبیلی-سال 1399 تاکنون.
صفحه شخصی: https://abazari.github.io/
دکترای ریاضی کاربردی (گرایش آنالیز عددی)-دانشگاه تبریز-1397.
1- عضو دانشجویان استعداد های درخشان دکتری دانشگاه تبریز از سال 1395 تا 1397.
2- بورس تحصیلی بنیاد ملی نخبگان از سال 1396 تا 1397.
1-عضو انجمن ریاضی ایران از سال 1397 تا کنون.
2-عضو انجمن آنالیز عددی ایران از سال 1402 تا کنون.
زمینه کلی: ریاضیات کاربردی
زمینه های تخصصی: روشهای عددی در علوم فیزیکی-علوم زیستی و علوم پزشکی.
اهداف کلی درس: طرح و تحلیل الگوریتم هاي عددي و محاسباتی براي مسائل جبرخطی با تاکید بر کارایی و پایداري الگوریتم ها.
سرفصل درس:
1- مروري بر مفاهیم و مقدمات جبرخطی: فضاي برداري، استقلال خطی و وابسته خطی، پایه فضا، بردار و ماتریس، نرم برداري و ماتریسی.
2- مروري بر روشهاي حل دستگاههاي خطی: روش حذفی گوس، تجزیه LU یک ماتریس، عمل محور گیري جزیی و کلی، پایداري روش گوس، حساسیت دستگاههاي خطی و قضایاي مربوطه، تجزیه چولسکی و کروت.
3- روشهاي تکراري براي حل دستگاههاي خطی: معرفی روش هاي ژاکوبی، گوس – سایدل و SOR ، همگرایی روشهاي تکراري.
4- معرفی برخی ماترس هاي خاص و خواص آنها: معرفی ماتریس معین مثبت و خواص آنها، معرفی ماتریس متعامد، ماتریس هاوس هولدر ، خواص ماتریس هاوس هولدر، تجزیه QR و کاربرد آن در حل دستگاهها، ماتریس ها با درایه هاي مختلط.
5- مقادیر ویژه و بردارهاي ویژه یک ماتریس: مقدار ویژه و بردار ویژه ماتریس، مقادیر ویژه برخی ماترس هاي خاص، روشهاي محاسبه مقادیر ویژه شامل روش توانی، ژاکوبی.
6- مساله کمترین مربعات و کاربرد آن.
58 - EU Yilmaz, FS Khodad, YS Ozkan, R Abazari, AE Abouelregal, ...,Manakov model of coupled NLS equation and its optical soliton solutions,2022
57 - R Abazari, H Rezazadeh, L Akinyemi, M Inc,Numerical simulation of a binary alloy of 2D Cahn–Hilliard model for phase separation,2022
56 - H Rezazadeh, R Abazari, M Justin, A Bekir, A Korkmaz,Bright and Singular Optical Solitons in Nonlinear Negative-Index Materials with Quadratic–Cubic Nonlinearity,2021
55 - A Jhangeer, H Rezazadeh, R Abazari, K Yildirim, S Sharif, F Ibraheem,Lie analysis, conserved quantities and solitonic structures of Calogero-Degasperis-Fokas equation,2021
54 - H Rezazadeh, M Odabasi, KU Tariq, R Abazari, HM Baskonus,On the conformable nonlinear Schrödinger equation with second order spatiotemporal and group velocity dispersion coefficients,2021
53 - H Rezazadeh, R Abazari, MMA Khater, M Inc, D Baleanu,New optical solitons of conformable resonant nonlinear Schrödinger’s equation,2020
52 - R Abazarı, K Yıldırım,QUINTIC B-SPLINE METHOD FOR NUMERICAL SOLUTION OF THE ROSENAU-BURGERS EQUATION,2019
51 - R Abazari, M Lakestani,Non-subsampled shearlet transform and log-transform methods for despeckling of medical ultrasound images,2019
50 - R Abazari, K Yildirim,Numerical study of Sivashinsky equation using a splitting scheme based on Crank-Nicolson method,2019
49 - R Abazari, M Lakestani,Fourier based discrete shearlet transform for speckle noise reduction in medical ultrasound images,2018
48 - R Abazari, S Jamshidzadeh, G Wang,Mathematical modeling of DNA vibrational dynamics and its solitary wave solutions,2018
47 - R Abazari, M Lakestani,A hybrid denoising algorithm based on Shearlet transform method and Yaroslavsky's filter,2018
46 - S Jamshidzadeh, R Abazari,Solitary wave solutions of three special types of Boussinesq equations,2017
45 - R Abazari, S Jamshidzadeh, A Biswas,Solitary wave solutions of coupled Boussinesq equation,2016
44 - R Abazari, S Jamshidzadeh,Exact solitary wave solutions of the complex Klein–Gordon equation,2015
43 - M Abazari, M Gholamnejad, G Roshanaei, R Abazari, Y Roosta, ...,Estimation of survival rates in patients with lung cancer in west azerbaijan, the northwest of iran.,2015
42 - M Abazeri, R Abazari, G Roshanaee, M Gholam Nejad, Y Roosta, ...,Evaluation of Prognostic Variables for Classifying the Survival In lung cancer Patients using The Decision Tree,2015
41 - R Abazari, R Abazari,Numerical solution of the Rosenau equation using quintic collocation B-spline method,2015
40 - AB G.W. Wang, T.Z. Xu, H.A. Zedan, R. Abazari, H. Triki,Solitary Waves, Shock Waves and Other Solutions to Nizhniki-Novikov-Veselov Equation,2015
39 - R Abazari,A modified form of (G’/G)-expansion method and its application to Potential Kadomtsev–Petviashvili (PKP) equation,2014
38 - R Abazari,General solution of a special class of nonlinear BBM-B equation by using the (G’/G)-expansion method,2014
37 - AB Gang-Wei Wang, Tian-zhou Xu, Reza Abazari, Zlatko Jovanoski,Shock Waves and Other Solutions to the Benjamin-Bona-Mahoney-Burgers Equation with Dual Power-Law Nonlinearity,2014
36 - R Abazari,Application of extended tanh function method on KdV-Burgers equation with forcing term,2014
35 - R Abazari,Solitary-wave solutions of the Klein-Gordon equation with quintic nonlinearity,2013
34 - R Abazari, B Soltanalizadeh,Reduced differential transform method and its application on Kawahara equations,2013
33 - R Abazari, M Abazari,Numerical study of Burgers–Huxley equations via reduced differential transform method,2013
32 - R Abazari, A Kilicman,Numerical study of two-dimensional Volterra integral equations by RDTM and Comparison with DTM,2013
31 - R Rafiezadeh, R Abazari,Weighted fuzzy transform and its application for approximation of discrete functions by continuous functions,2013
30 - R Abazari,On the exact solitary wave solutions of a special class of Benjamin-Bona-Mahony equation.,2013
29 - R Abazari, A Kılıçman,Solitary wave solutions of the Boussinesq equation and its improved form,2013
28 - A Borhanifar, R Abazari,General Solution of Two Generalized Form of Burgers Equation by Using the (G'/G)-Expansion Method,2012
27 - R Abazari, A Kılıcman,Solution of second-order IVP and BVP of matrix differential models using matrix DTM,2012
26 - R Abazari,Comment on “A new method for a generalized Hirota–Satsuma coupled KdV equation [Appl. Math. Comput. 217 (17)(2011) 7117–7125]”,2012
25 - R Abazari,The Modified (G/G)-Expansion Method for Exact Solutions of the (3+ 1)-Dimensional Jimbo-Miwa Equation,2012
24 - A Kılıcman, R Abazari,Travelling Wave Solutions of the Schrödinger-Boussinesq System,2012
23 - A Borhanifar, R Abazari,Differential transform method for a class of nonlinear integro-differential equations with derivative type kernel,2012
22 - R Abazari, A Kılıcman,Application of differential transform method on nonlinear integro-differential equations with proportional delay,2012
21 - R Abazari, M Abazari,Numerical simulation of generalized Hirota-Satsuma coupled KdV equation by RDTM and comparison with DTM,2012
20 - R Abazari, M Ganji,Extended two-dimensional DTM and its application on nonlinear PDEs with proportional delay,2011
19 - MM Kabir, A Borhanifar, R Abazari,Application of (G'/G)-expansion method to Regularized Long Wave(RLW) equation,2011
18 - A Borhanifar, R Abazari,Exact solutions for non-linear Schrödinger equations by differential transformation method,2011
17 - R Abazari,The solitary wave solutions of Zoomeron equation,2011
16 - R Abazari, R Abazari,Hyperbolic, Trigonometric, and Rational Function Solutions of Hirota-Ramani Equation via (G’/G)-Expansion Method,2011
15 - R Abazari,The (G′/G)-expansion method for the coupled Boussinesq equation,2011
14 - R Abazari,Numerical Simulation of Coupled Nonlinear Schrodinger Equation by RDTM and Comparison with DTM,2011
13 - A Borhanifar, R Abazari,General Solution of Generalized (2+ 1)–Dimensional Kadomtsev-Petviashvili (KP) Equation by Using the (G'/G)–Expansion Method,2011
12 - R Abazari,General travelling wave solutions of quintic nonlinearity of Klein-Gordon equation,2011
11 - R Abazari, R Abazari,Numerical study of some coupled PDEs by using differential transformation method,2010
10 - R Abazari, A Borhanifar,Numerical study of the solution of the Burgers and coupled Burgers equations by a differential transformation method,2010
9 - R Abazari,Application of (G'/G)-expansion method to travelling wave solutions of three nonlinear evolution equation,2010
8 - R Abazari,The (G′/G)-expansion method for Tzitzéica type nonlinear evolution equations,2010
7 - A Borhanifar, R Abazari,Numerical study of nonlinear Schrödinger and coupled Schrödinger equations by differential transformation method,2010
6 - A Borhanifar, R Abazari,An unconditionally stable parallel difference scheme for telegraph equation,2009
5 - AS Shahrbabaki, R Abazari,Perturbation method for heat exchange between a gas and solid particles,2009
4 - R Abazari,Solution of Riccati types matrix differential equations using matrix differential transform method,2009
3 - N Abazari, R Abazari,Solution of nonlinear second-order pantograph equations via differential transformation method,2009
2 - A Borhanifar, R Abazari,Research Article An Unconditionally Stable Parallel Difference Scheme for Telegraph Equation,2009
1 - A Borhanifar, R Abazari,Numerical solution of second-order matrix differential models using cubic matrix splines,2007
کتاب فارسی
برنامه هفتگی استاد در ترم جاری
نام درس | مقطع | زمان و مکان ارائه |
---|---|---|
مبانی آنالیز عددی | کارشناسی |
یکشنبه - دانشکده ریاضی - 8-10 سه شنبه - دانشکده ریاضی - 14-16 |