%0 Journal Article %1 noauthororeditor %A Pirkhedri, Ali %D 2023 %J INTERNATIONAL JOURNAL OF TREND IN SCIENTIFIC RESEARCH AND DEVELOPMENT %K Collocation; Convergence; Exponential Fractional Haar; Lane-Emden; Matrix; Operational Order; Rationalized %N 7 %P 696-703 %T Solving Fractional Type of Astronomy Equation by Fractional Order of Rationalized Haar Operational Matrices %U https://www.ijtsrd.com/mathemetics/computational-science/52389/solving-fractional-type-of-astronomy-equation-by-fractional-order-of-rationalized-haar-operational-matrices/ali-pirkhedri %V 6 %X Numerical solution of fractional Lane Emden equation which is the nonlinear singular initial value problem in astrophysics has been proposed by fractional order of Rationalized Haar operational matrices based on collocation method. The advantage of our technique is that the computational speed is high due to using the RH operational matrices and the convergence rate is exponential. We investigate two examples to test the accuracy, speed and efficiency of this new method in which these evaluations confirmed our claim. Ali Pirkhedri "Solving Fractional Type of Astronomy Equation by Fractional Order of Rationalized Haar Operational Matrices" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-6 | Issue-7 , December 2022, URL: https://www.ijtsrd.com/papers/ijtsrd52389.pdf Paper URL: https://www.ijtsrd.com/mathemetics/computational-science/52389/solving-fractional-type-of-astronomy-equation-by-fractional-order-of-rationalized-haar-operational-matrices/ali-pirkhedri

@article{noauthororeditor, abstract = {Numerical solution of fractional Lane Emden equation which is the nonlinear singular initial value problem in astrophysics has been proposed by fractional order of Rationalized Haar operational matrices based on collocation method. The advantage of our technique is that the computational speed is high due to using the RH operational matrices and the convergence rate is exponential. We investigate two examples to test the accuracy, speed and efficiency of this new method in which these evaluations confirmed our claim. Ali Pirkhedri "Solving Fractional Type of Astronomy Equation by Fractional Order of Rationalized Haar Operational Matrices" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-6 | Issue-7 , December 2022, URL: https://www.ijtsrd.com/papers/ijtsrd52389.pdf Paper URL: https://www.ijtsrd.com/mathemetics/computational-science/52389/solving-fractional-type-of-astronomy-equation-by-fractional-order-of-rationalized-haar-operational-matrices/ali-pirkhedri }, added-at = {2023-01-07T13:58:07.000+0100}, author = {Pirkhedri, Ali}, biburl = {https://www.bibsonomy.org/bibtex/29b646ed211e953928aea6bada6e726eb/ijtsrd}, interhash = {36ede0e33684c02020bbeeb36d4686da}, intrahash = {9b646ed211e953928aea6bada6e726eb}, issn = {2456-6470}, journal = {INTERNATIONAL JOURNAL OF TREND IN SCIENTIFIC RESEARCH AND DEVELOPMENT}, keywords = {Collocation; Convergence; Exponential Fractional Haar; Lane-Emden; Matrix; Operational Order; Rationalized}, language = {english}, month = jan, number = 7, pages = {696-703}, timestamp = {2023-01-07T13:58:07.000+0100}, title = {Solving Fractional Type of Astronomy Equation by Fractional Order of Rationalized Haar Operational Matrices }, url = {https://www.ijtsrd.com/mathemetics/computational-science/52389/solving-fractional-type-of-astronomy-equation-by-fractional-order-of-rationalized-haar-operational-matrices/ali-pirkhedri}, volume = 6, year = 2023 }