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The use of differential and non-local transformations for numerical integration of non-linear blow-up problems
Institution:1. Institute for Problems in Mechanics, Russian Academy of Sciences, 101 Vernadsky Avenue, bldg 1, 119526 Moscow, Russia;2. Bauman Moscow State Technical University, 5 Second Baumanskaya Street, 105005 Moscow, Russia;3. National Research Nuclear University MEPhI, 31 Kashirskoe Shosse, 115409 Moscow, Russia;4. University of Sonora, Blvd. Luis Encinas y Rosales S/N, Hermosillo C.P. 83000, Sonora, Mexico;1. Department of Mathematics, VNU University of Education, Vietnam National University at Hanoi, Hanoi, Viet Nam;2. Division of Mathematics, Truong THPT Trung Van, Phuong Trung Van, Nam Tu Liem, Hanoi, Viet Nam;3. Department of Mathematics and Statistics, University of Arkansas at Little Rock, 2801 S University Ave, Little Rock, AR 72204, USA;1. RIKEN Brain Science Institute, 2-1 Hirosawa, Wako, Saitama, 351-0198, Japan;2. RIKEN BSI-KAO Collaboration Center, 2-1 Hirosawa, Wako, Saitama, 351-0198, Japan;3. Graduate School of Arts and Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo, 153-8902, Japan;1. Department of Neurosurgery, Graduate School of Medical Sciences, Kyushu University, Fukuoka, Japan;2. Department of Preventive Medicine, Director, National Cerebral and Cardiovascular Center, Suita, Japan;3. Department of Health Communication, Graduate School of Medical Sciences, Kyushu University, Fukuoka, Japan;4. Department of Clinical Research Management, National Hospital Organization Nagoya Medical Center, Nagoya, Japan;5. Department of Emergency Medicine, Teikyo University School of Medicine, Tokyo, Japan;6. Department of Advanced Cancer Science, Yamagata University Faculty of Medicine, Yamagata, Japan;7. Department of Neurosurgery, Yamaguchi University School of Medicine, Yamaguchi, Japan;8. Department of Neurosurgery, Graduate School of Medicine, Juntendo University, Tokyo, Japan
Abstract:
Keywords:Non-linear differential equations  Blow-up solutions  Numerical integration  Differential transformations  Non-local transformations  Arc-length transformation
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