Recursive higher order fuzzy transform method for numerical solution of Volterra integral equation with singular and nonsingular kernels

[1]  Irina Perfilieva,et al.  F-TRANSFORM FOR NUMERICAL SOLUTION OF TWO-POINT BOUNDARY VALUE PROBLEM , 2017 .

[2]  Hermann Brunner,et al.  The numerical solution of weakly singular Volterra integral equations by collocation on graded meshes , 1985 .

[3]  Irina Perfilieva,et al.  Fuzzy transform to approximate solution of two‐point boundary value problems , 2017 .

[4]  Hermann Brunner,et al.  A family of methods for Abel integral equations of the second kind , 1991 .

[5]  Richard Weiss,et al.  High Order Methods for a Class of Volterra Integral Equations with Weakly Singular Kernels , 1974 .

[6]  Salvatore Sessa,et al.  Complete image fusion method based on fuzzy transforms , 2019, Soft Comput..

[7]  Luciano Stefanini,et al.  Quantile and expectile smoothing based on L1-norm and L2-norm fuzzy transforms , 2019, Int. J. Approx. Reason..

[8]  M. Zeinali.  Approximate Solution of Fuzzy Hammerstein Integral Equation by Using Fuzzy B-Spline Series , 2017 .

[9]  Irina Perfilieva,et al.  Trigonometric $$F^m$$Fm-transform and its approximative properties , 2017, Soft Comput..

[10]  Reza Ezzati,et al.  NUMERICAL SOLUTION OF FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KIND BY USING FUZZY TRANSFORMS , 2012 .

[11]  Seok-Beom Roh,et al.  Design of face recognition system based on fuzzy transform and radial basis function neural networks , 2019, Soft Comput..

[12]  Matteo Gaeta,et al.  Cubic B-spline fuzzy transforms for an efficient and secure compression in wireless sensor networks , 2016, Inf. Sci..

[13]  Irina Perfilieva,et al.  On the structural properties of Fm-transform with applications , 2018, Fuzzy Sets Syst..

[14]  Martins Kokainis,et al.  Continuous and discrete higher-degree F-transforms based on B-splines , 2017, Soft Comput..

[15]  Irina Perfilieva.  Fuzzy Transform: Application to the Reef Growth Problem , 2004 .

[16]  Arvet Pedas,et al.  Smoothing Transformation and Piecewise Polynomial Collocation for Weakly Singular Volterra Integral Equations , 2004, Computing.

[17]  Luciano Stefanini,et al.  Properties of fuzzy transform obtained from Lp minimization and a connection with Zadeh's extension principle , 2019, Inf. Sci..

[18]  Soheil Salahshour,et al.  SOLVING FUZZY INTEGRAL EQUATIONS OF THE SECOND KIND BY FUZZY LAPLACE TRANSFORM METHOD , 2012 .

[19]  Mehdi Dehghan,et al.  A Collocation Method for Solving Abel’S Integral Equations of First and Second Kinds , 2008 .

[20]  S. Shahmorad,et al.  Multistep collocation and iterated multistep collocation methods for solving two-dimensional Volterra integral equations , 2015 .

[21]  R. Katani,et al.  A Block by Block Method for Solving System of Volterra Integral Equations with Continuous and Abel Kernels , 2015 .

[22]  Stefania Tomasiello,et al.  A review on the application of fuzzy transform in data and image compression , 2019, Soft Comput..

[23]  Irina Perfilieva,et al.  A new fuzzy approximation method to Cauchy problems by fuzzy transform , 2016, Fuzzy Sets Syst..

[24]  Irina Perfilieva,et al.  Fuzzy transforms: Theory and applications , 2006, Fuzzy Sets Syst..

[25]  Salvatore Sessa,et al.  Fuzzy transforms method and attribute dependency in data analysis , 2010, Inf. Sci..

[26]  Matteo Gaeta,et al.  Multisignal 1-D compression by F-transform for wireless sensor networks applications , 2015, Appl. Soft Comput..

[27]  Annamaria Palamara Orsi,et al.  Product integration for Volterra integral equations of the second kind with weakly singular kernels , 1996, Math. Comput..

[28]  R. F. Cameron,et al.  Product integration methods for second-kind Abel integral equations , 1984 .

[29]  Salvatore Sessa,et al.  An image coding/decoding method based on direct and inverse fuzzy transforms , 2008, Int. J. Approx. Reason..

[30]  M. A. Firozja,et al.  A Fuzzy Transform Method for Numerical Solution of Fractional Volterra Integral Equations , 2019, International Journal of Applied and Computational Mathematics.

[31]  Tao Tang,et al.  A note on collocation methods for Volterra integro-differential equations with weakly singular kernels , 1993 .

[32]  Stefania Tomasiello,et al.  An alternative use of fuzzy transform with application to a class of delay differential equations , 2017, Int. J. Comput. Math..

[33]  Peter Linz,et al.  Numerial Methods for Volterra Integral Equations with Singular Kernels , 2006 .

[34]  Martina Danková,et al.  Towards a higher degree F-transform , 2011, Fuzzy Sets Syst..

[35]  Shokrollah Ziari,et al.  Fuzzy bivariate triangular functions with application to nonlinear fuzzy Fredholm–Volterra integral equations in two dimensions , 2020, Soft Comput..

[36]  R. Ezzati,et al.  Numerical Solution of Volterra-Fredholm Integral Equations with The Help of Inverse and Direct Discrete Fuzzy Transforms and Collocation Technique , 2012 .

[37]  Luciano Stefanini,et al.  F-transform with parametric generalized fuzzy partitions , 2011, Fuzzy Sets Syst..

[38]  Imre J. Rudas,et al.  Approximation properties of fuzzy transforms , 2011, Fuzzy Sets Syst..

[39]  Bernard De Baets,et al.  Fuzzy transforms of monotone functions with application to image compression , 2010, Inf. Sci..