Numerical solution of variable‐order stochastic fractional integro‐differential equation with a collocation method based on Müntz–Legendre polynomial
DOI10.1002/mma.8076zbMath1527.65064OpenAlexW4206009172MaRDI QIDQ6087659
Vaibhav Mehandiratta, Abhishek Kumar Singh, Mani Mehra
Publication date: 12 December 2023
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.8076
integro-differential equationsoperational matrixvariable-order fractional differential equationsMüntz-Legendre polynomial
Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30) Approximation by polynomials (41A10) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)
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Cites Work
- Unnamed Item
- The Pricing of Options and Corporate Liabilities
- A high order numerical scheme for variable order fractional ordinary differential equation
- A computational method for solving stochastic Itô-Volterra integral equations based on stochastic operational matrix for generalized hat basis functions
- Numerical techniques for the variable-order time fractional diffusion equation
- A new numerical method for variable order fractional functional differential equations
- Numerical solution of stochastic differential equations by second order Runge-Kutta methods
- Numerical solution of fractional differential equations with a collocation method based on Müntz polynomials
- Fractional optimal control problems on a star graph: optimality system and numerical solution
- The variable-order fractional calculus of variations
- On the numerical solution of fractional stochastic integro-differential equations via meshless discrete collocation method based on radial basis functions
- Langevin equation with multiplicative white noise: transformation of diffusion processes into the Wiener process in different prescriptions
- Numerical solution of stochastic Volterra integral equations by a stochastic operational matrix based on block pulse functions
- Finite-time stability of linear stochastic fractional-order systems with time delay
- Fourth order compact scheme for space fractional advection-diffusion reaction equations with variable coefficients
- Multistep schemes for one and two dimensional electromagnetic wave models based on fractional derivative approximation
- Collocation methods for terminal value problems of tempered fractional differential equations
- A difference scheme for the time-fractional diffusion equation on a metric star graph
- Wavelet-optimized compact finite difference method for convection-diffusion equations
- Existence and uniqueness results for a nonlinear Caputo fractional boundary value problem on a star graph
- A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications
- A Bessel collocation method for solving fractional optimal control problems
- Numerical solution of stochastic fractional integro-differential equation by the spectral collocation method
- Solutions of differential-difference equations arising from mathematical models of granulocytopoiesis
- An Introduction to Computational Stochastic PDEs
- A Course in Financial Calculus
- FOURTH-ORDER COMPACT SCHEME FOR OPTION PRICING UNDER THE MERTON’S AND KOU’S JUMP-DIFFUSION MODELS
- On Volterra’s Population Equation
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