An efficient operational matrix technique to solve the fractional order non-local boundary value problems. (English) Zbl 1497.92373
Summary: This article deals with constructing an operational matrix method based on fractional-order Lagrange polynomials to solve the non-local boundary value problems (BVPs) of fractional order arising in chemical reactor theory. In the proposed numerical technique, first, we determine the operational matrix of integer and fractional derivatives. Using the obtained operational matrix and collocation at the nodal points, we get a system of algebraic equations, which can be easily solved for the unknown coefficients of that system. The convergence analysis of the proposed method also has been carried out. Some numerical examples show that this method is simple to use and gives high accuracy, even with a small number of fractional order Lagrange polynomials.
MSC:
| 92E20 | Classical flows, reactions, etc. in chemistry |
| 34B10 | Nonlocal and multipoint boundary value problems for ordinary differential equations |
| 34A08 | Fractional ordinary differential equations |
| 15A99 | Basic linear algebra |
Keywords:
Caputo fractional derivative; fractional-order Lagrange polynomials; non-local boundary value problems; operational matrix of differentiationReferences:
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