Numerical solution for the fractional-order one-dimensional telegraph equation via wavelet technique
S. Kumbinarasaiah, Hadi Rezazadeh
Abstract
Abstract In this article, we proposed an efficient numerical technique for the solution of fractional-order (1 + 1) dimensional telegraph equation using the Laguerre wavelet collocation method. Some examples are illustrated to inspect the efficiency of the proposed technique and convergence analysis is discussed in terms of a theorem. Here, the fractional-order telegraph equation is converted into a system of algebraic equations using the properties of the Laguerre wavelet, and solutions obtained by the proposed scheme are more accurate and they are compared with the analytical solution and other method existed in the literature.
Topics & Concepts
Telegrapher's equationsLaguerre polynomialsWaveletMathematicsCollocation (remote sensing)Convergence (economics)Algebraic equationApplied mathematicsOrder (exchange)Collocation methodMathematical analysisComputer scienceDifferential equationPhysicsTelecommunicationsMachine learningEconomicsOrdinary differential equationTransmission lineQuantum mechanicsEconomic growthNonlinear systemFinanceArtificial intelligenceFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsNonlinear Waves and Solitons