A New Fractional Representation of the Higher Order Taylor Scheme
Copyright policy )A New Fractional Representation of the Higher Order Taylor Scheme
In this work, we suggest a new numerical scheme called the fractional higher order Taylor method (FHOTM) to solve fractional differential equations (FDEs). Using the generalized Taylor’s theorem is the fundamental concept of this approach. Then, the local truncation error generated by the suggested FHOTM is estimated by proving suitable theoretical results. At last, several numerical applications are given to demonstrate the applicability of the suggested approach in relation to their exact solutions.
- Al-Zaytoonah University of Jordan Jordan
- Ajman University of Science and Technology United Arab Emirates
- University of Blida Algeria
- Sohar University Oman
- Université de Mostaganem Algeria
Economics, FOS: Political science, Social Sciences, Applications of Generalized Functions in Mathematics and Physics, FOS: Law, Nonstandard Analysis, Mathematical analysis, Decision Sciences, QA1-939, FOS: Mathematics, Taylor series, Political science, Anomalous Diffusion Modeling and Analysis, Mathematical Physics, Order (exchange), Scheme (mathematics), T57-57.97, Applied mathematics. Quantitative methods, Time-Fractional Diffusion Equation, Nonlinear Models, FOS: Clinical medicine, Politics, Fractional calculus, Applied mathematics, Fractional Derivatives, Modeling and Simulation, Dentistry, Physical Sciences, Uncertainty Quantification and Sensitivity Analysis, Medicine, Fractional Calculus, Statistics, Probability and Uncertainty, Calculus (dental), Representation (politics), Law, Mathematics, Finance
Economics, FOS: Political science, Social Sciences, Applications of Generalized Functions in Mathematics and Physics, FOS: Law, Nonstandard Analysis, Mathematical analysis, Decision Sciences, QA1-939, FOS: Mathematics, Taylor series, Political science, Anomalous Diffusion Modeling and Analysis, Mathematical Physics, Order (exchange), Scheme (mathematics), T57-57.97, Applied mathematics. Quantitative methods, Time-Fractional Diffusion Equation, Nonlinear Models, FOS: Clinical medicine, Politics, Fractional calculus, Applied mathematics, Fractional Derivatives, Modeling and Simulation, Dentistry, Physical Sciences, Uncertainty Quantification and Sensitivity Analysis, Medicine, Fractional Calculus, Statistics, Probability and Uncertainty, Calculus (dental), Representation (politics), Law, Mathematics, Finance
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