Numerical solution for the fractional-order one-dimensional telegraph equation via wavelet technique
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Kumbinarasaiah Srinivasa
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Hadi Rezazadeh
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.
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Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
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Research funding: None declared.
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Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
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© 2020 Walter de Gruyter GmbH, Berlin/Boston
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- Lipschitz stability of nonlinear ordinary differential equations with non-instantaneous impulses in ordered Banach spaces
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- Algebro-geometric constructions of the Heisenberg hierarchy
- New technique for the approximation of the zeros of nonlinear scientific models
- Norm inequalities on variable exponent vanishing Morrey type spaces for the rough singular type integral operators
- Existence, stability and controllability results of fractional dynamic system on time scales with application to population dynamics
- Numerical solution for the fractional-order one-dimensional telegraph equation via wavelet technique
- Bell-shaped soliton solutions and travelling wave solutions of the fifth-order nonlinear modified Kawahara equation
- Existence and uniqueness of solutions of nonlinear fractional order problems via a fixed point theorem
Articles in the same Issue
- Frontmatter
- Original Research Articles
- Research on prediction model of thermal and moisture comfort of underwear based on principal component analysis and Genetic Algorithm–Back Propagation neural network
- Design of the state feedback-based feed-forward controller asymptotically stabilizing the double-pendulum-type overhead cranes with time-varying hoisting rope length
- Blowup and global existence of mild solutions for fractional extended Fisher–Kolmogorov equations
- Lipschitz stability of nonlinear ordinary differential equations with non-instantaneous impulses in ordered Banach spaces
- Exploring the effects of awareness and time delay in controlling malaria disease propagation
- Algebro-geometric constructions of the Heisenberg hierarchy
- New technique for the approximation of the zeros of nonlinear scientific models
- Norm inequalities on variable exponent vanishing Morrey type spaces for the rough singular type integral operators
- Existence, stability and controllability results of fractional dynamic system on time scales with application to population dynamics
- Numerical solution for the fractional-order one-dimensional telegraph equation via wavelet technique
- Bell-shaped soliton solutions and travelling wave solutions of the fifth-order nonlinear modified Kawahara equation
- Existence and uniqueness of solutions of nonlinear fractional order problems via a fixed point theorem
