Numerical and analytical approach to the Chandrasekhar quadratic functional integral equation using Picard and Adomian decomposition methods
This research aimed to find numerical solutions to a type of nonlinear initial value problem (IVP) for hybrid fractional differential equations. Using the Adomian decomposition method (ADM) and the Picard method (PM), we studied the Chandrasekhar quadratic integral equation (QIE). Furthermore, we in...
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| Language: | English |
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AIMS Press
2024-11-01
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| Series: | Electronic Research Archive |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2024275 |
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| author | Eman A. A. Ziada Hind Hashem Asma Al-Jaser Osama Moaaz Monica Botros |
| author_facet | Eman A. A. Ziada Hind Hashem Asma Al-Jaser Osama Moaaz Monica Botros |
| author_sort | Eman A. A. Ziada |
| collection | DOAJ |
| description | This research aimed to find numerical solutions to a type of nonlinear initial value problem (IVP) for hybrid fractional differential equations. Using the Adomian decomposition method (ADM) and the Picard method (PM), we studied the Chandrasekhar quadratic integral equation (QIE). Furthermore, we investigated existence and uniqueness results using measures of weak noncompactness. Through a set of examples and numerical simulations, a comparison was made between the results of the AMD and PM. |
| format | Article |
| id | doaj-art-eb3e62f473bd4913ad06cf44fd3338dc |
| institution | Kabale University |
| issn | 2688-1594 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj-art-eb3e62f473bd4913ad06cf44fd3338dc2025-01-23T07:53:00ZengAIMS PressElectronic Research Archive2688-15942024-11-0132115943596510.3934/era.2024275Numerical and analytical approach to the Chandrasekhar quadratic functional integral equation using Picard and Adomian decomposition methodsEman A. A. Ziada0Hind Hashem1Asma Al-Jaser2Osama Moaaz3Monica Botros4Basic Science Department, Nile Higher Institute for Engineering and Technology, Mansoura, EgyptFaculty of Science, Alexandria University, EgyptDepartment of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaDepartment of Mathematics, College of Science, Qassim University, P.O. Box 6644, Buraydah 51452, Saudi ArabiaBasic Science Department, Faculty of Engineering, Delta University for Science and Technology, Gamasa 11152, EgyptThis research aimed to find numerical solutions to a type of nonlinear initial value problem (IVP) for hybrid fractional differential equations. Using the Adomian decomposition method (ADM) and the Picard method (PM), we studied the Chandrasekhar quadratic integral equation (QIE). Furthermore, we investigated existence and uniqueness results using measures of weak noncompactness. Through a set of examples and numerical simulations, a comparison was made between the results of the AMD and PM.https://www.aimspress.com/article/doi/10.3934/era.2024275hybrid integral equationmeasure of noncompactnessadomian decomposition methodpicard methodfractional derivatives |
| spellingShingle | Eman A. A. Ziada Hind Hashem Asma Al-Jaser Osama Moaaz Monica Botros Numerical and analytical approach to the Chandrasekhar quadratic functional integral equation using Picard and Adomian decomposition methods Electronic Research Archive hybrid integral equation measure of noncompactness adomian decomposition method picard method fractional derivatives |
| title | Numerical and analytical approach to the Chandrasekhar quadratic functional integral equation using Picard and Adomian decomposition methods |
| title_full | Numerical and analytical approach to the Chandrasekhar quadratic functional integral equation using Picard and Adomian decomposition methods |
| title_fullStr | Numerical and analytical approach to the Chandrasekhar quadratic functional integral equation using Picard and Adomian decomposition methods |
| title_full_unstemmed | Numerical and analytical approach to the Chandrasekhar quadratic functional integral equation using Picard and Adomian decomposition methods |
| title_short | Numerical and analytical approach to the Chandrasekhar quadratic functional integral equation using Picard and Adomian decomposition methods |
| title_sort | numerical and analytical approach to the chandrasekhar quadratic functional integral equation using picard and adomian decomposition methods |
| topic | hybrid integral equation measure of noncompactness adomian decomposition method picard method fractional derivatives |
| url | https://www.aimspress.com/article/doi/10.3934/era.2024275 |
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