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ACKNOWLEDGMENTS This thesis is the consequence of a three-year study evolved by the contribution of many people and now I would like to express my gratitude to all the people supporting me from all the aspects for the period of my thesis. Firstly, I would like to thank and express my deepest gratitude to Assoc. Prof. Dr. and patience during my studies and(More)
We provide an error analysis of the operator splitting method of the Lie-Trotter type applied to the Burgers-Huxley equation u t + αuu x − εu xx = β (1 − u)(u − γ)u. We show that the Lie-Trotter splitting method converges with the expected rate in H s (R), where H s (R) is the Sobolev space and s is an arbitrary nonnegative integer. We split the equation(More)
ACKNOWLEDGMENTS This thesis is the consequence of a three-year study evolved by the contribution of many people and now I would like to express my gratitude to all the people supporting me from all the aspects for the period of my thesis. Firstly, I would like to thank and express my deepest gratitude to Assoc. Prof. Dr. and patience during my studies and(More)
ACKNOWLEDGEMENTS This thesis could not have been accomplished without many people's support. First of all, I would like to express my deepest gratitude to my advisor Asst.Prof.Dr. ¨ Unal Ufuktepe for his guidance, encouragement, patience and above all for being a great teacher. He was always approachable for any academic / non-academic issues that I faced.(More)
ACKNOWLEDGMENTS I would like to express my sincere gratitude to my advisor Gamze TANO ˘ GLU for her help, understanding, encouragement and patience during my studies. Turkey (T ¨ UB ˙ ITAK) for its financial support. I owe the same amount of thanks to my family for being perpetually proud of me without any reason. It is my pleasure to thank Selin SOYSAL,(More)
In this paper, we contribute higher order operator-splitting method improved by Zassen-haus product. We apply the contribution to classical and iterative splitting methods. The underlying analysis to obtain higher order operator-splitting methods is presented. While applying the methods to partial differential equations, the benefits of balancing time and(More)