Homotopy analysis method for quadratic Riccati differential equation |
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| Affiliation: | 1. Center for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal;2. Universidade de Vigo, Departamento de Matemática Aplicada II, E. E. Aeronáutica e do Espazo, Campus de Ourense, 32004 Ourense, Spain;3. Instituto de Matematicas, Universidade de Santiago de Compostela, Santiago de Compostela 15782, Spain;1. College of Data Science, Taiyuan University of Technology, Taiyuan 030024, PR China;2. Department of Harbor and River Engineering & Computation and Simulation Center, National Taiwan Ocean University, Keelung 20224, Taiwan;3. School of Mathematics and Statistics, Central South University, Changsha 410083, PR China;4. School of Engineering and Materials Science, Queen Mary University of London, London E14NS, UK;1. Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia;2. Dipartimento di Scienza e Alta Tecnologia, Universita dell’Insubria, Via Valleggio 11, Como 22100, Italy;3. Department de Física i Enginyeria Nuclear, Universitat Politècnica de Catalunya, Comte d’Urgell 187, Barcelona 08036, Spain;4. Department of Information Technology, Uppsala University, Box 337, SE-751 05 Uppsala, Sweden |
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| Abstract: | In this paper, the quadratic Riccati differential equation is solved by means of an analytic technique, namely the homotopy analysis method (HAM). Comparisons are made between Adomian’s decomposition method (ADM), homotopy perturbation method (HPM) and the exact solution and the homotopy analysis method. The results reveal that the proposed method is very effective and simple. |
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