# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 39 Publications since 2011
all top 5

#### Co-Authors

 0 single-authored 18 Heydari, Mohammad Hossien 9 Heydari, Mohammadhossein 7 Loghmani, G. Barid 7 Maalek Ghaini, F. M. 6 Hassani, Hossein 6 Hosseininia, M. 5 Machado, José António Tenreiro 3 Chen, Wen 2 Atangana, Abdon 2 Cattani, Carlo 2 Naraghirad, Eskandar 2 Nikan, Omid 2 Rizi, Z. Beygi 2 Yang, Yin 1 Dahaghin, Mohammad Shafie 1 Gharian, Davood 1 Haromi, Malih Farzi 1 Hosseini, Vahid Reza 1 Loghmani, Ghasem Barid 1 Ma, Zhonglian 1 Mahmoudi, Mohammad Reza 1 Mahmoudi, Mohammed Reza 1 Navabpour, H. R. 1 Razzaghi, Mehdi 1 Roohi, Reza 1 Shafiee, B. 1 Shakiba, Ali
all top 5

#### Serials

 6 Engineering Analysis with Boundary Elements 3 Applied Mathematics and Computation 3 Applied Numerical Mathematics 3 Computational and Applied Mathematics 3 Communications in Nonlinear Science and Numerical Simulation 2 Chaos, Solitons and Fractals 2 Applied Mathematical Modelling 2 Advances in Difference Equations 2 Applied Mathematical Sciences (Ruse) 2 International Journal of Applied and Computational Mathematics 1 Computers & Mathematics with Applications 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Numerical Methods for Partial Differential Equations 1 Journal of Scientific Computing 1 Nonlinear Dynamics 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Journal of Applied Mathematics 1 International Journal of Biomathematics 1 Asian Journal of Control 1 Journal of Applied Analysis and Computation
all top 5

#### Fields

 31 Numerical analysis (65-XX) 18 Partial differential equations (35-XX) 10 Integral equations (45-XX) 7 Real functions (26-XX) 6 Ordinary differential equations (34-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 3 Special functions (33-XX) 3 Approximations and expansions (41-XX) 3 Mechanics of deformable solids (74-XX) 2 Probability theory and stochastic processes (60-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

28 Publications have been cited 224 times in 153 Documents Cited by Year
Numerical solution of fractional telegraph equation by using radial basis functions. Zbl 1287.65085
Hosseini, Vahid Reza; Chen, Wen; Avazzadeh, Zakieh
2014
Chebyshev polynomials for solving two dimensional linear and nonlinear integral equations of the second kind. Zbl 1247.65159
2012
An operational matrix method for solving variable-order fractional biharmonic equation. Zbl 1402.65125
2018
Legendre wavelets optimization method for variable-order fractional Poisson equation. Zbl 1398.65316
2018
Numerical solution of Fredholm integral equations of the second kind by using integral mean value theorem. II: High dimensional problems. Zbl 1349.65710
Heydari, M.; Avazzadeh, Z.; Navabpour, H.; Loghmani, G. B.
2013
A comparison between solving two dimensional integral equations by the traditional collocation method and radial basis functions. Zbl 1228.65242
Avazzadeh, Z.; Heydari, M.; Loghmani, G. B.
2011
A computational method for solving variable-order fractional nonlinear diffusion-wave equation. Zbl 1429.65240
2019
Two-dimensional Legendre wavelets for solving variable-order fractional nonlinear advection-diffusion equation with variable coefficients. Zbl 06987921
Hosseininia, M.; Heydari, M. H.; Avazzadeh, Z.; Maalek Ghaini, F. M.
2018
Numerical solution of Fredholm integral equations of the second kind by using integral mean value theorem. Zbl 1217.65236
Avazzadeh, Z.; Heydari, M.; Loghmani, G. B.
2011
A numerical solution of nonlinear parabolic-type Volterra partial integro-differential equations using radial basis functions. Zbl 1351.74153
Avazzadeh, Z.; Beygi Rizi, Z.; Maalek Ghaini, F. M.; Loghmani, G. B.
2012
Fractional calculus for solving Abel’s integral equations using Chebyshev polynomials. Zbl 1246.65248
Avazzadeh, Z.; Shafiee, B.; Loghmani, G. B.
2011
A wavelet approach for solving multi-term variable-order time fractional diffusion-wave equation. Zbl 1429.65239
2019
A new wavelet method for variable-order fractional optimal control problems. Zbl 1407.93127
2018
A meshless approach for solving nonlinear variable-order time fractional 2D Ginzburg-Landau equation. Zbl 07268619
Heydari, M. H.; Hosseininia, M.; Atangana, A.; Avazzadeh, Z.
2020
Smooth solution of partial integro-differential equations using radial basis functions. Zbl 1297.35260
Avazzadeh, Z.; Heydari, M.; Chen, W.; Loghmani, G. B.
2014
A cardinal method to solve coupled nonlinear variable-order time fractional sine-Gordon equations. Zbl 1449.35437
2020
An effective numerical method for solving nonlinear variable-order fractional functional boundary value problems through optimization technique. Zbl 1430.34005
2019
Transcendental Bernstein series for solving reaction-diffusion equations with nonlocal boundary conditions through the optimization technique. Zbl 1431.65184
2019
Numerical investigation of fractional nonlinear sine-Gordon and Klein-Gordon models arising in relativistic quantum mechanics. Zbl 07268623
2020
Generalized shifted Chebyshev polynomials: solving a general class of nonlinear variable order fractional PDE. Zbl 1450.35267
2020
A wavelet method to solve nonlinear variable-order time fractional 2D Klein-Gordon equation. Zbl 1443.65449
Hosseininia, M.; Heydari, M. H.; Maalek Ghaini, F. M.; Avazzadeh, Z.
2019
Transcendental Bernstein series for solving nonlinear variable order fractional optimal control problems. Zbl 1433.49044
2019
Chebyshev cardinal wavelets and their application in solving nonlinear stochastic differential equations with fractional Brownian motion. Zbl 07265263
Heydari, M. H.; Mahmoudi, M. R.; Shakiba, A.; Avazzadeh, Z.
2018
A semi-discrete scheme for solving nonlinear hyperbolic-type partial integro-differential equations using radial basis functions. Zbl 1317.35305
Avazzadeh, Z.; Rizi, Z. Beygi; Ghaini, F. M. Maalek; Loghmani, G. B.
2011
Orthonormal shifted discrete Legendre polynomials for solving a coupled system of nonlinear variable-order time fractional reaction-advection-diffusion equations. Zbl 07310826
Heydari, M. H.; Avazzadeh, Z.; Atangana, A.
2021
A computational wavelet method for variable-order fractional model of dual phase lag bioheat equation. Zbl 1452.65196
Hosseininia, M.; Heydari, M. H.; Roohi, R.; Avazzadeh, Z.
2019
Chebyshev cardinal wavelets for nonlinear stochastic differential equations driven with variable-order fractional Brownian motion. Zbl 1448.60090
Heydari, M. H.; Avazzadeh, Z.; Mahmoudi, M. R.
2019
Haar wavelet method for solving nonlinear age-structured population models. Zbl 1386.35405
2017
Orthonormal shifted discrete Legendre polynomials for solving a coupled system of nonlinear variable-order time fractional reaction-advection-diffusion equations. Zbl 07310826
Heydari, M. H.; Avazzadeh, Z.; Atangana, A.
2021
A meshless approach for solving nonlinear variable-order time fractional 2D Ginzburg-Landau equation. Zbl 07268619
Heydari, M. H.; Hosseininia, M.; Atangana, A.; Avazzadeh, Z.
2020
A cardinal method to solve coupled nonlinear variable-order time fractional sine-Gordon equations. Zbl 1449.35437
2020
Numerical investigation of fractional nonlinear sine-Gordon and Klein-Gordon models arising in relativistic quantum mechanics. Zbl 07268623
2020
Generalized shifted Chebyshev polynomials: solving a general class of nonlinear variable order fractional PDE. Zbl 1450.35267
2020
A computational method for solving variable-order fractional nonlinear diffusion-wave equation. Zbl 1429.65240
2019
A wavelet approach for solving multi-term variable-order time fractional diffusion-wave equation. Zbl 1429.65239
2019
An effective numerical method for solving nonlinear variable-order fractional functional boundary value problems through optimization technique. Zbl 1430.34005
2019
Transcendental Bernstein series for solving reaction-diffusion equations with nonlocal boundary conditions through the optimization technique. Zbl 1431.65184
2019
A wavelet method to solve nonlinear variable-order time fractional 2D Klein-Gordon equation. Zbl 1443.65449
Hosseininia, M.; Heydari, M. H.; Maalek Ghaini, F. M.; Avazzadeh, Z.
2019
Transcendental Bernstein series for solving nonlinear variable order fractional optimal control problems. Zbl 1433.49044
2019
A computational wavelet method for variable-order fractional model of dual phase lag bioheat equation. Zbl 1452.65196
Hosseininia, M.; Heydari, M. H.; Roohi, R.; Avazzadeh, Z.
2019
Chebyshev cardinal wavelets for nonlinear stochastic differential equations driven with variable-order fractional Brownian motion. Zbl 1448.60090
Heydari, M. H.; Avazzadeh, Z.; Mahmoudi, M. R.
2019
An operational matrix method for solving variable-order fractional biharmonic equation. Zbl 1402.65125
2018
Legendre wavelets optimization method for variable-order fractional Poisson equation. Zbl 1398.65316
2018
Two-dimensional Legendre wavelets for solving variable-order fractional nonlinear advection-diffusion equation with variable coefficients. Zbl 06987921
Hosseininia, M.; Heydari, M. H.; Avazzadeh, Z.; Maalek Ghaini, F. M.
2018
A new wavelet method for variable-order fractional optimal control problems. Zbl 1407.93127
2018
Chebyshev cardinal wavelets and their application in solving nonlinear stochastic differential equations with fractional Brownian motion. Zbl 07265263
Heydari, M. H.; Mahmoudi, M. R.; Shakiba, A.; Avazzadeh, Z.
2018
Haar wavelet method for solving nonlinear age-structured population models. Zbl 1386.35405
2017
Numerical solution of fractional telegraph equation by using radial basis functions. Zbl 1287.65085
Hosseini, Vahid Reza; Chen, Wen; Avazzadeh, Zakieh
2014
Smooth solution of partial integro-differential equations using radial basis functions. Zbl 1297.35260
Avazzadeh, Z.; Heydari, M.; Chen, W.; Loghmani, G. B.
2014
Numerical solution of Fredholm integral equations of the second kind by using integral mean value theorem. II: High dimensional problems. Zbl 1349.65710
Heydari, M.; Avazzadeh, Z.; Navabpour, H.; Loghmani, G. B.
2013
Chebyshev polynomials for solving two dimensional linear and nonlinear integral equations of the second kind. Zbl 1247.65159
2012
A numerical solution of nonlinear parabolic-type Volterra partial integro-differential equations using radial basis functions. Zbl 1351.74153
Avazzadeh, Z.; Beygi Rizi, Z.; Maalek Ghaini, F. M.; Loghmani, G. B.
2012
A comparison between solving two dimensional integral equations by the traditional collocation method and radial basis functions. Zbl 1228.65242
Avazzadeh, Z.; Heydari, M.; Loghmani, G. B.
2011
Numerical solution of Fredholm integral equations of the second kind by using integral mean value theorem. Zbl 1217.65236
Avazzadeh, Z.; Heydari, M.; Loghmani, G. B.
2011
Fractional calculus for solving Abel’s integral equations using Chebyshev polynomials. Zbl 1246.65248
Avazzadeh, Z.; Shafiee, B.; Loghmani, G. B.
2011
A semi-discrete scheme for solving nonlinear hyperbolic-type partial integro-differential equations using radial basis functions. Zbl 1317.35305
Avazzadeh, Z.; Rizi, Z. Beygi; Ghaini, F. M. Maalek; Loghmani, G. B.
2011
all top 5

#### Cited by 267 Authors

 14 Applied Mathematics and Computation 14 Applied Numerical Mathematics 13 Engineering Analysis with Boundary Elements 12 Journal of Computational and Applied Mathematics 12 Computational and Applied Mathematics 5 Computers & Mathematics with Applications 5 Applied Mathematical Modelling 5 International Journal of Applied and Computational Mathematics 4 Chaos, Solitons and Fractals 4 Communications in Nonlinear Science and Numerical Simulation 4 Advances in Difference Equations 3 Journal of Computational Physics 3 Mathematical Problems in Engineering 3 Advances in Mathematical Physics 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of the Franklin Institute 2 Mathematical Methods in the Applied Sciences 2 Numerical Algorithms 2 Applied Mathematics. Series B (English Edition) 2 Fractional Calculus & Applied Analysis 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Mediterranean Journal of Mathematics 2 Applications and Applied Mathematics 2 International Journal of Biomathematics 2 S$$\vec{\text{e}}$$MA Journal 1 International Journal of Control 1 Journal of Optimization Theory and Applications 1 Mathematica Slovaca 1 Numerical Methods for Partial Differential Equations 1 Journal of Scientific Computing 1 International Journal of Computer Mathematics 1 The Journal of Analysis 1 Journal of the Egyptian Mathematical Society 1 European Journal of Control 1 Nonlinear Dynamics 1 Journal of Inequalities and Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Tbilisi Mathematical Journal 1 São Paulo Journal of Mathematical Sciences 1 Differential Equations and Applications 1 Journal of Pseudo-Differential Operators and Applications 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 TWMS Journal of Pure and Applied Mathematics 1 Symmetry 1 Afrika Matematika 1 Arabian Journal of Mathematics 1 Mathematical Sciences 1 Journal of Mathematics 1 Journal of Linear and Topological Algebra 1 Computational Methods for Differential Equations 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences