Gazonas, George A.; Powers, Brian M. A Numerical investigation of crack behavior near a fixed boundary using singular integral equation and finite element methods. (English) Zbl 07748284 Appl. Math. Comput. 459, Article ID 128266, 17 p. (2023). MSC: 74Rxx 44-XX 74Bxx PDFBibTeX XMLCite \textit{G. A. Gazonas} and \textit{B. M. Powers}, Appl. Math. Comput. 459, Article ID 128266, 17 p. (2023; Zbl 07748284) Full Text: DOI
Xiang, Shuhuang; Zhang, Qingyang Asymptotics on the Fredholm integral equation with a highly oscillatory and weakly singular kernel. (English) Zbl 07704202 Appl. Math. Comput. 456, Article ID 128112, 17 p. (2023). MSC: 65Rxx 65Nxx 45Dxx PDFBibTeX XMLCite \textit{S. Xiang} and \textit{Q. Zhang}, Appl. Math. Comput. 456, Article ID 128112, 17 p. (2023; Zbl 07704202) Full Text: DOI
Roy, Souvik; Jeon, Gihyeon; Moon, Sunghwan Radon transform with Gaussian beam: theoretical and numerical reconstruction scheme. (English) Zbl 07702337 Appl. Math. Comput. 452, Article ID 128024, 11 p. (2023). MSC: 44A12 65R10 PDFBibTeX XMLCite \textit{S. Roy} et al., Appl. Math. Comput. 452, Article ID 128024, 11 p. (2023; Zbl 07702337) Full Text: DOI
Jain, Riya; Pani, Amiya K.; Yadav, Sangita HDG method for linear parabolic integro-differential equations. (English) Zbl 07701072 Appl. Math. Comput. 450, Article ID 127987, 15 p. (2023). MSC: 65Rxx 65Mxx 45Kxx PDFBibTeX XMLCite \textit{R. Jain} et al., Appl. Math. Comput. 450, Article ID 127987, 15 p. (2023; Zbl 07701072) Full Text: DOI
Egidi, Nadaniela; Giacomini, Josephin; Maponi, Pierluigi; Youssef, Michael An FFT method for the numerical differentiation. (English) Zbl 1511.65017 Appl. Math. Comput. 445, Article ID 127856, 13 p. (2023). MSC: 65D25 65T50 45P05 65R20 PDFBibTeX XMLCite \textit{N. Egidi} et al., Appl. Math. Comput. 445, Article ID 127856, 13 p. (2023; Zbl 1511.65017) Full Text: DOI
Kang, Hongchao; Wang, Ruoxia; Zhang, Meijuan; Xiang, Chunzhi Efficient and accurate quadrature methods of Fourier integrals with a special oscillator and weak singularities. (English) Zbl 1510.65049 Appl. Math. Comput. 440, Article ID 127492, 14 p. (2023). MSC: 65D30 41A60 65D32 65R10 PDFBibTeX XMLCite \textit{H. Kang} et al., Appl. Math. Comput. 440, Article ID 127492, 14 p. (2023; Zbl 1510.65049) Full Text: DOI
Sun, Ying-ying; Sun, Wan-yi An update of a Bäcklund transformation and its applications to the Boussinesq system. (English) Zbl 1510.37110 Appl. Math. Comput. 421, Article ID 126964, 14 p. (2022). MSC: 37K35 37K10 35Q53 35A22 35C08 PDFBibTeX XMLCite \textit{Y.-y. Sun} and \textit{W.-y. Sun}, Appl. Math. Comput. 421, Article ID 126964, 14 p. (2022; Zbl 1510.37110) Full Text: DOI
Wang, Chunpeng; Gao, Hongling; Ma, Bin; Yang, Meihong; Li, Jian; Xia, Zhiqiu; Hao, Qixian Color image analysis with novel trinion decimal-order polar harmonic transforms. (English) Zbl 1510.94026 Appl. Math. Comput. 410, Article ID 126453, 23 p. (2021). MSC: 94A08 44A05 PDFBibTeX XMLCite \textit{C. Wang} et al., Appl. Math. Comput. 410, Article ID 126453, 23 p. (2021; Zbl 1510.94026) Full Text: DOI
Derevtsov, Evgeny Yu.; Volkov, Yuriy S.; Schuster, Thomas Generalized attenuated ray transforms and their integral angular moments. (English) Zbl 1497.65258 Appl. Math. Comput. 409, Article ID 125494, 15 p. (2021). MSC: 65R10 65R32 53A45 PDFBibTeX XMLCite \textit{E. Yu. Derevtsov} et al., Appl. Math. Comput. 409, Article ID 125494, 15 p. (2021; Zbl 1497.65258) Full Text: DOI arXiv
Gouia-Zarrad, Rim; Roy, Souvik; Moon, Sunghwan Numerical inversion and uniqueness of a spherical Radon transform restricted with a fixed angular span. (English) Zbl 1510.44003 Appl. Math. Comput. 408, Article ID 126338, 14 p. (2021). MSC: 44A12 65R10 92C55 PDFBibTeX XMLCite \textit{R. Gouia-Zarrad} et al., Appl. Math. Comput. 408, Article ID 126338, 14 p. (2021; Zbl 1510.44003) Full Text: DOI
Parmar, Rakesh K.; Milovanović, Gradimir V.; Pogány, Tibor K. Multi-parameter Mathieu, and alternating Mathieu series. (English) Zbl 1508.33007 Appl. Math. Comput. 400, Article ID 126099, 28 p. (2021). MSC: 33C20 26A51 26D15 33C65 33E05 33E20 44A10 PDFBibTeX XMLCite \textit{R. K. Parmar} et al., Appl. Math. Comput. 400, Article ID 126099, 28 p. (2021; Zbl 1508.33007) Full Text: DOI
Kolomoitsev, Yurii; Skopina, Maria Approximation by multivariate quasi-projection operators and Fourier multipliers. (English) Zbl 1508.41009 Appl. Math. Comput. 400, Article ID 125955, 18 p. (2021). MSC: 41A35 41A17 42B10 42B15 94A20 PDFBibTeX XMLCite \textit{Y. Kolomoitsev} and \textit{M. Skopina}, Appl. Math. Comput. 400, Article ID 125955, 18 p. (2021; Zbl 1508.41009) Full Text: DOI arXiv
Mekoth, Chitra; George, Santhosh; Jidesh, P. Fractional Tikhonov regularization method in Hilbert scales. (English) Zbl 1474.47035 Appl. Math. Comput. 392, Article ID 125701, 26 p. (2021). MSC: 47A52 65R10 65J10 47H09 49J30 PDFBibTeX XMLCite \textit{C. Mekoth} et al., Appl. Math. Comput. 392, Article ID 125701, 26 p. (2021; Zbl 1474.47035) Full Text: DOI
Massé, A.; Sommen, F.; De Ridder, H.; Raeymaekers, T. Discrete Weierstrass transform in discrete Hermitian Clifford analysis. (English) Zbl 1475.44005 Appl. Math. Comput. 391, Article ID 125641, 20 p. (2021). MSC: 44A15 46E20 39A12 PDFBibTeX XMLCite \textit{A. Massé} et al., Appl. Math. Comput. 391, Article ID 125641, 20 p. (2021; Zbl 1475.44005) Full Text: DOI Link
Xu, Zhenhua; Geng, Hongrui; Fang, Chunhua Asymptotics and numerical approximation of highly oscillatory Hilbert transforms. (English) Zbl 1474.65483 Appl. Math. Comput. 386, Article ID 125525, 14 p. (2020). MSC: 65R10 44A15 65D32 65D30 PDFBibTeX XMLCite \textit{Z. Xu} et al., Appl. Math. Comput. 386, Article ID 125525, 14 p. (2020; Zbl 1474.65483) Full Text: DOI
Campagna, Rosanna; Conti, Costanza; Cuomo, Salvatore Computational error bounds for Laplace transform inversion based on smoothing splines. (English) Zbl 1474.65481 Appl. Math. Comput. 383, Article ID 125376, 10 p. (2020). MSC: 65R10 65D07 65D10 PDFBibTeX XMLCite \textit{R. Campagna} et al., Appl. Math. Comput. 383, Article ID 125376, 10 p. (2020; Zbl 1474.65481) Full Text: DOI
Bertoluzza, S.; Falletta, S.; Scuderi, L. Wavelets and convolution quadrature for the efficient solution of a 2D space-time BIE for the wave equation. (English) Zbl 1433.65366 Appl. Math. Comput. 366, Article ID 124726, 21 p. (2020). MSC: 65T60 65T50 PDFBibTeX XMLCite \textit{S. Bertoluzza} et al., Appl. Math. Comput. 366, Article ID 124726, 21 p. (2020; Zbl 1433.65366) Full Text: DOI
Sun, Xiaoyun; Dang, Pei Numerical stability of circular Hilbert transform and its application to signal decomposition. (English) Zbl 1429.65303 Appl. Math. Comput. 359, 357-373 (2019). MSC: 65R10 42B10 94A12 PDFBibTeX XMLCite \textit{X. Sun} and \textit{P. Dang}, Appl. Math. Comput. 359, 357--373 (2019; Zbl 1429.65303) Full Text: DOI
Liu, Lu; Xue, Dingyu; Zhang, Shuo Closed-loop time response analysis of irrational fractional-order systems with numerical Laplace transform technique. (English) Zbl 1429.65302 Appl. Math. Comput. 350, 133-152 (2019). MSC: 65R10 34A08 44A10 PDFBibTeX XMLCite \textit{L. Liu} et al., Appl. Math. Comput. 350, 133--152 (2019; Zbl 1429.65302) Full Text: DOI
Kang, Hongchao Efficient calculation and asymptotic expansions of many different oscillatory infinite integrals. (English) Zbl 1429.65050 Appl. Math. Comput. 346, 305-318 (2019). MSC: 65D32 65D30 41A60 65R10 PDFBibTeX XMLCite \textit{H. Kang}, Appl. Math. Comput. 346, 305--318 (2019; Zbl 1429.65050) Full Text: DOI
Chen, Ruyun; Xiang, Shuhuang; Kuang, Xuesong On evaluation of oscillatory transforms from position to momentum space. (English) Zbl 1429.65049 Appl. Math. Comput. 344-345, 183-190 (2019). MSC: 65D32 65R10 33C10 65D30 42C20 PDFBibTeX XMLCite \textit{R. Chen} et al., Appl. Math. Comput. 344--345, 183--190 (2019; Zbl 1429.65049) Full Text: DOI
Huseyin, Anar Approximation of the integral funnel of the Urysohn type integral operator. (English) Zbl 1429.65301 Appl. Math. Comput. 341, 277-287 (2019). MSC: 65R10 45P05 PDFBibTeX XMLCite \textit{A. Huseyin}, Appl. Math. Comput. 341, 277--287 (2019; Zbl 1429.65301) Full Text: DOI
Benjemaa, Mondher Taylor’s formula involving generalized fractional derivatives. (English) Zbl 1427.26002 Appl. Math. Comput. 335, 182-195 (2018). MSC: 26A24 26A33 34A08 41A58 44A15 45K05 PDFBibTeX XMLCite \textit{M. Benjemaa}, Appl. Math. Comput. 335, 182--195 (2018; Zbl 1427.26002) Full Text: DOI arXiv
Jahedi, S.; Javadi, F.; Mehdipour, M. J. Compression and decompression based on discrete weighted transform. (English) Zbl 1427.44003 Appl. Math. Comput. 335, 133-145 (2018). MSC: 44A15 41A65 PDFBibTeX XMLCite \textit{S. Jahedi} et al., Appl. Math. Comput. 335, 133--145 (2018; Zbl 1427.44003) Full Text: DOI
De Micheli, Enrico A fast algorithm for the inversion of Abel’s transform. (English) Zbl 1411.65159 Appl. Math. Comput. 301, 12-24 (2017). MSC: 65R10 44A15 45E10 PDFBibTeX XMLCite \textit{E. De Micheli}, Appl. Math. Comput. 301, 12--24 (2017; Zbl 1411.65159) Full Text: DOI
Campos, Rafael G.; Marcellán, Francisco Quadratures and integral transforms arising from generating functions. (English) Zbl 1411.65038 Appl. Math. Comput. 297, 8-18 (2017). MSC: 65D30 33C45 44A05 PDFBibTeX XMLCite \textit{R. G. Campos} and \textit{F. Marcellán}, Appl. Math. Comput. 297, 8--18 (2017; Zbl 1411.65038) Full Text: DOI
Li, Pingrun; Ren, Guangbin Some classes of equations of discrete type with harmonic singular operator and convolution. (English) Zbl 1410.44003 Appl. Math. Comput. 284, 185-194 (2016). MSC: 44A15 30E25 44A35 44A55 PDFBibTeX XMLCite \textit{P. Li} and \textit{G. Ren}, Appl. Math. Comput. 284, 185--194 (2016; Zbl 1410.44003) Full Text: DOI
Irfan, Nagma; Siddiqi, A. H. A novel computational hybrid approach in solving Hankel transform. (English) Zbl 1410.65483 Appl. Math. Comput. 281, 121-129 (2016). MSC: 65R10 44A15 PDFBibTeX XMLCite \textit{N. Irfan} and \textit{A. H. Siddiqi}, Appl. Math. Comput. 281, 121--129 (2016; Zbl 1410.65483) Full Text: DOI
Dernek, Neşe; Ölçüçü, Eyüp Ömer; Aylıkçı, Fatih New identities and Parseval type relations for the generalized integral transforms \(\mathcal{L}_{4 n}\), \(\mathcal{P}_{4 n}\), \(\mathcal{F}_{s, 2 n}\) and \(\mathcal{F}_{c, 2 n}\). (English) Zbl 1410.44001 Appl. Math. Comput. 269, 536-547 (2015). MSC: 44A10 44A15 44A20 PDFBibTeX XMLCite \textit{N. Dernek} et al., Appl. Math. Comput. 269, 536--547 (2015; Zbl 1410.44001) Full Text: DOI
Oliveira, Saulo P.; Azevedo, Juarez S. Numerical approximation of 2D Fredholm integral eigenvalue problems by orthogonal wavelets. (English) Zbl 1410.65514 Appl. Math. Comput. 267, 517-528 (2015). MSC: 65R99 42C40 45C05 PDFBibTeX XMLCite \textit{S. P. Oliveira} and \textit{J. S. Azevedo}, Appl. Math. Comput. 267, 517--528 (2015; Zbl 1410.65514) Full Text: DOI
Agarwal, Praveen; Chand, Mehar; Karimov, Erkinjon Tulkinovich Certain image formulas of generalized hypergeometric functions. (English) Zbl 1410.33003 Appl. Math. Comput. 266, 763-772 (2015). MSC: 33B15 26A33 33C60 33C45 33C15 33C20 33C99 44A10 PDFBibTeX XMLCite \textit{P. Agarwal} et al., Appl. Math. Comput. 266, 763--772 (2015; Zbl 1410.33003) Full Text: DOI
Casabán, M.-C.; Cortés, J.-C.; Jódar, L. A random Laplace transform method for solving random mixed parabolic differential problems. (English) Zbl 1390.35435 Appl. Math. Comput. 259, 654-667 (2015). MSC: 35R60 35A22 44A10 60H15 65C30 PDFBibTeX XMLCite \textit{M. C. Casabán} et al., Appl. Math. Comput. 259, 654--667 (2015; Zbl 1390.35435) Full Text: DOI Link
Katugampola, Udita N. Mellin transforms of generalized fractional integrals and derivatives. (English) Zbl 1338.44007 Appl. Math. Comput. 257, 566-580 (2015). MSC: 44A15 PDFBibTeX XMLCite \textit{U. N. Katugampola}, Appl. Math. Comput. 257, 566--580 (2015; Zbl 1338.44007) Full Text: DOI arXiv
Awais, M. Applications of the numerical inversion of the Laplace transform to unsteady problems of the third grade fluid. (English) Zbl 1328.76005 Appl. Math. Comput. 250, 228-234 (2015). MSC: 76A05 76M25 76W05 65R10 PDFBibTeX XMLCite \textit{M. Awais}, Appl. Math. Comput. 250, 228--234 (2015; Zbl 1328.76005) Full Text: DOI
Knupp, Diego C.; Sacco, Wagner F.; Silva Neto, Antônio J. Direct and inverse analysis of diffusive logistic population evolution with time delay and impulsive culling via integral transforms and hybrid optimization. (English) Zbl 1328.35250 Appl. Math. Comput. 250, 105-120 (2015). MSC: 35Q92 92D25 35K20 PDFBibTeX XMLCite \textit{D. C. Knupp} et al., Appl. Math. Comput. 250, 105--120 (2015; Zbl 1328.35250) Full Text: DOI
Raoofian Naeeni, M.; Campagna, R.; Eskandari-Ghadi, M.; Ardalan, Alireza A. Performance comparison of numerical inversion methods for Laplace and Hankel integral transforms in engineering problems. (English) Zbl 1328.65069 Appl. Math. Comput. 250, 759-775 (2015). MSC: 65D30 44A10 65R10 PDFBibTeX XMLCite \textit{M. Raoofian Naeeni} et al., Appl. Math. Comput. 250, 759--775 (2015; Zbl 1328.65069) Full Text: DOI
Ansari, Alireza; Askari, Hassan On fractional calculus of \(\mathcal A_{2n+1}(x)\) function. (English) Zbl 1410.33017 Appl. Math. Comput. 232, 487-497 (2014). MSC: 33C10 44A15 26A33 PDFBibTeX XMLCite \textit{A. Ansari} and \textit{H. Askari}, Appl. Math. Comput. 232, 487--497 (2014; Zbl 1410.33017) Full Text: DOI
An, Chen; Su, Jian Dynamic analysis of axially moving orthotropic plates: integral transform solution. (English) Zbl 1364.74043 Appl. Math. Comput. 228, 489-507 (2014). MSC: 74H45 74K20 74S30 65R10 PDFBibTeX XMLCite \textit{C. An} and \textit{J. Su}, Appl. Math. Comput. 228, 489--507 (2014; Zbl 1364.74043) Full Text: DOI
Kou, Kit Ian; Morais, João Asymptotic behaviour of the quaternion linear canonical transform and the Bochner-Minlos theorem. (English) Zbl 1338.43005 Appl. Math. Comput. 247, 675-688 (2014). MSC: 43A60 44A15 PDFBibTeX XMLCite \textit{K. I. Kou} and \textit{J. Morais}, Appl. Math. Comput. 247, 675--688 (2014; Zbl 1338.43005) Full Text: DOI
Liu, Wenjun; Gao, Xingyue Approximating the finite Hilbert transform via a companion of Ostrowski’s inequality for function of bounded variation and applications. (English) Zbl 1338.65280 Appl. Math. Comput. 247, 373-385 (2014). MSC: 65R10 44A15 PDFBibTeX XMLCite \textit{W. Liu} and \textit{X. Gao}, Appl. Math. Comput. 247, 373--385 (2014; Zbl 1338.65280) Full Text: DOI
Chung, Kuo-Liang; Huang, Yong-Huai; Tsai, Shiang-Ren Orientation-based discrete Hough transform for line detection with low computational complexity. (English) Zbl 1334.44003 Appl. Math. Comput. 237, 430-437 (2014). MSC: 44A15 68U10 94A08 PDFBibTeX XMLCite \textit{K.-L. Chung} et al., Appl. Math. Comput. 237, 430--437 (2014; Zbl 1334.44003) Full Text: DOI
Gupta, Vijay; Rassias, Themistocles M.; Yadav, Rani Approximation by Lupaş-beta integral operators. (English) Zbl 1334.41031 Appl. Math. Comput. 236, 19-26 (2014). MSC: 41A36 44A15 PDFBibTeX XMLCite \textit{V. Gupta} et al., Appl. Math. Comput. 236, 19--26 (2014; Zbl 1334.41031) Full Text: DOI
Salehbhai, I. A.; Shukla, A. K. The Laguerre transform in two variables and its application in partial differential equations. (English) Zbl 1515.35020 Appl. Math. Comput. 219, No. 9, 4650-4654 (2013). MSC: 35A22 33C45 PDFBibTeX XMLCite \textit{I. A. Salehbhai} and \textit{A. K. Shukla}, Appl. Math. Comput. 219, No. 9, 4650--4654 (2013; Zbl 1515.35020) Full Text: DOI
Gzyl, H.; Tagliani, A.; Milev, M. Laplace transform inversion on the real line is truly ill-conditioned. (English) Zbl 1292.44001 Appl. Math. Comput. 219, No. 18, 9805-9809 (2013). MSC: 44A10 44A20 PDFBibTeX XMLCite \textit{H. Gzyl} et al., Appl. Math. Comput. 219, No. 18, 9805--9809 (2013; Zbl 1292.44001) Full Text: DOI
Arteaga, Cristian; Marrero, Isabel The Hankel transform of tempered Boehmians via the exchange property. (English) Zbl 1302.46029 Appl. Math. Comput. 219, No. 3, 810-818 (2012). Reviewer: Abhishek Singh (Jodhpur) MSC: 46F12 44A35 46F99 PDFBibTeX XMLCite \textit{C. Arteaga} and \textit{I. Marrero}, Appl. Math. Comput. 219, No. 3, 810--818 (2012; Zbl 1302.46029) Full Text: DOI
Xie, Hui; Dai, Hong-Liang; Guo, Zhi-Yang Dynamic response of a FGPM hollow cylinder under the coupling of multi-fields. (English) Zbl 1250.78028 Appl. Math. Comput. 218, No. 21, 10492-10499 (2012). MSC: 78A55 74F15 74E05 78M25 65R10 PDFBibTeX XMLCite \textit{H. Xie} et al., Appl. Math. Comput. 218, No. 21, 10492--10499 (2012; Zbl 1250.78028) Full Text: DOI
Tian, Shou-Fu; Zhou, Sheng-Wu; Jiang, Wu-You; Zhang, Hong-Qing Analytic solutions, Darboux transformation operators and supersymmetry for a generalized one-dimensional time-dependent Schrödinger equation. (English) Zbl 1252.35239 Appl. Math. Comput. 218, No. 13, 7308-7321 (2012). MSC: 35Q41 35A22 81Q05 PDFBibTeX XMLCite \textit{S.-F. Tian} et al., Appl. Math. Comput. 218, No. 13, 7308--7321 (2012; Zbl 1252.35239) Full Text: DOI
Deng, Shu-Fang The decay mode solutions for the cylindrical KP equation. (English) Zbl 1244.35122 Appl. Math. Comput. 218, No. 10, 5974-5981 (2012). MSC: 35Q53 35A22 PDFBibTeX XMLCite \textit{S.-F. Deng}, Appl. Math. Comput. 218, No. 10, 5974--5981 (2012; Zbl 1244.35122) Full Text: DOI
Wang, Fei; Li, Wei; Zhang, Hongqing A systematic method to construct polynomials possessing linear superposition principle and dispersion relation. (English) Zbl 1387.35085 Appl. Math. Comput. 218, No. 7, 3925-3933 (2011). MSC: 35C05 35A22 PDFBibTeX XMLCite \textit{F. Wang} et al., Appl. Math. Comput. 218, No. 7, 3925--3933 (2011; Zbl 1387.35085) Full Text: DOI
Wen, Xiao-Yong; Gao, Yi-Tian; Wang, Lei Darboux transformation and explicit solutions for the integrable sixth-order KdV equation for nonlinear waves. (English) Zbl 1231.35217 Appl. Math. Comput. 218, No. 1, 55-60 (2011). MSC: 35Q53 35A22 74J30 68W30 PDFBibTeX XMLCite \textit{X.-Y. Wen} et al., Appl. Math. Comput. 218, No. 1, 55--60 (2011; Zbl 1231.35217) Full Text: DOI
Yuan, Shao-Mou; Liu, Zai-Ming Some properties of two subclasses of \(k\)-fold symmetric functions associated with Srivastava-Attiya operator. (English) Zbl 1225.30020 Appl. Math. Comput. 218, No. 3, 1136-1141 (2011). MSC: 30C45 30E20 44A15 PDFBibTeX XMLCite \textit{S.-M. Yuan} and \textit{Z.-M. Liu}, Appl. Math. Comput. 218, No. 3, 1136--1141 (2011; Zbl 1225.30020) Full Text: DOI
Uçar, Faruk; Yürekli, Osman Identities for the Widder transform and transforms with Bessel function kernels. (English) Zbl 1235.44005 Appl. Math. Comput. 218, No. 3, 1096-1101 (2011). Reviewer: Alexandr L. Brodskij (Severodonetsk) MSC: 44A15 44A20 PDFBibTeX XMLCite \textit{F. Uçar} and \textit{O. Yürekli}, Appl. Math. Comput. 218, No. 3, 1096--1101 (2011; Zbl 1235.44005) Full Text: DOI
Tassaddiq, Asifa; Qadir, Asghar Fourier transform and distributional representation of the generalized gamma function with some applications. (English) Zbl 1238.46034 Appl. Math. Comput. 218, No. 3, 1084-1088 (2011). Reviewer: Abhishek Singh (Jodhpur) MSC: 46F12 33B15 PDFBibTeX XMLCite \textit{A. Tassaddiq} and \textit{A. Qadir}, Appl. Math. Comput. 218, No. 3, 1084--1088 (2011; Zbl 1238.46034) Full Text: DOI
Pathak, R. S.; Prasad, Akhilesh; Kumar, Manish \(n\)-dimensional Sobolev type spaces involving Hankel transformation. (English) Zbl 1234.46034 Appl. Math. Comput. 218, No. 3, 899-905 (2011). MSC: 46E35 44A15 PDFBibTeX XMLCite \textit{R. S. Pathak} et al., Appl. Math. Comput. 218, No. 3, 899--905 (2011; Zbl 1234.46034) Full Text: DOI
Kiryakova, V. Criteria for univalence of the Dziok-Srivastava and the Srivastava-Wright operators in the class \(A\). (English) Zbl 1227.30012 Appl. Math. Comput. 218, No. 3, 883-892 (2011). MSC: 30C45 33C20 26A33 44A15 PDFBibTeX XMLCite \textit{V. Kiryakova}, Appl. Math. Comput. 218, No. 3, 883--892 (2011; Zbl 1227.30012) Full Text: DOI
Hayek, N.; González, B. J.; Negrin, E. R. Matrix Wiener transform. (English) Zbl 1235.44004 Appl. Math. Comput. 218, No. 3, 773-776 (2011). Reviewer: Alexandr L. Brodskij (Severodonetsk) MSC: 44A15 PDFBibTeX XMLCite \textit{N. Hayek} et al., Appl. Math. Comput. 218, No. 3, 773--776 (2011; Zbl 1235.44004) Full Text: DOI
Triki, Houria; Hayat, T.; Aldossary, Omar M.; Biswas, Anjan Solitary wave and shock wave solutions to a second order wave equation of Korteweg-de Vries type. (English) Zbl 1219.35260 Appl. Math. Comput. 217, No. 21, 8852-8855 (2011). MSC: 35Q53 35C08 35A22 PDFBibTeX XMLCite \textit{H. Triki} et al., Appl. Math. Comput. 217, No. 21, 8852--8855 (2011; Zbl 1219.35260) Full Text: DOI
Triki, Houria; Wazwaz, Abdul-Majid Dark solitons for a combined potential KdV and Schwarzian KdV equations with \(t\)-dependent coefficients and forcing term. (English) Zbl 1219.35261 Appl. Math. Comput. 217, No. 21, 8846-8851 (2011). MSC: 35Q53 35C08 35A22 PDFBibTeX XMLCite \textit{H. Triki} and \textit{A.-M. Wazwaz}, Appl. Math. Comput. 217, No. 21, 8846--8851 (2011; Zbl 1219.35261) Full Text: DOI
Occorsio, Donatella A method to evaluate the Hilbert transform on (\(0, +\infty \)). (English) Zbl 1209.65139 Appl. Math. Comput. 217, No. 12, 5667-5679 (2011). MSC: 65R10 PDFBibTeX XMLCite \textit{D. Occorsio}, Appl. Math. Comput. 217, No. 12, 5667--5679 (2011; Zbl 1209.65139) Full Text: DOI
Wazwaz, Abdul-Majid Multiple soliton solutions for the Bogoyavlenskii’s generalized breaking soliton equations and its extension form. (English) Zbl 1206.35215 Appl. Math. Comput. 217, No. 8, 4282-4288 (2010). MSC: 35Q51 35C08 35A22 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 217, No. 8, 4282--4288 (2010; Zbl 1206.35215) Full Text: DOI
Liu, Fang; Zhong, Xian-Ci Transient response of two collinear dielectric cracks in a piezoelectric solid under inplane impacts. (English) Zbl 1206.78053 Appl. Math. Comput. 217, No. 8, 3779-3791 (2010). MSC: 78A55 74F15 74R99 45E05 44A10 78M25 74S30 PDFBibTeX XMLCite \textit{F. Liu} and \textit{X.-C. Zhong}, Appl. Math. Comput. 217, No. 8, 3779--3791 (2010; Zbl 1206.78053) Full Text: DOI
El-Kalla, I. L. New results on the analytic summation of Adomian series for some classes of differential and integral equations. (English) Zbl 1206.65175 Appl. Math. Comput. 217, No. 8, 3756-3763 (2010). Reviewer: Jacek Gilewicz (Marseille) MSC: 65L05 34A30 34A25 65R20 34A34 45D05 PDFBibTeX XMLCite \textit{I. L. El-Kalla}, Appl. Math. Comput. 217, No. 8, 3756--3763 (2010; Zbl 1206.65175) Full Text: DOI
Gzyl, H.; Tagliani, A. Stieltjes moment problem and fractional moments. (English) Zbl 1193.44031 Appl. Math. Comput. 216, No. 11, 3307-3318 (2010). MSC: 44A60 65R10 PDFBibTeX XMLCite \textit{H. Gzyl} and \textit{A. Tagliani}, Appl. Math. Comput. 216, No. 11, 3307--3318 (2010; Zbl 1193.44031) Full Text: DOI
Sweet, Erik; Van Gorder, Robert A. Analytical solutions to a generalized Drinfel’d-Sokolov equation related to DSSH and KdV6. (English) Zbl 1195.35271 Appl. Math. Comput. 216, No. 10, 2783-2791 (2010). MSC: 35Q53 35B20 35B30 35A22 35A35 35C05 PDFBibTeX XMLCite \textit{E. Sweet} and \textit{R. A. Van Gorder}, Appl. Math. Comput. 216, No. 10, 2783--2791 (2010; Zbl 1195.35271) Full Text: DOI
Roopkumar, R.; Negrin, E. R. Poisson transform on Boehmians. (English) Zbl 1207.46037 Appl. Math. Comput. 216, No. 9, 2740-2748 (2010). Reviewer: Kun Soo Chang (Seoul) MSC: 46F12 PDFBibTeX XMLCite \textit{R. Roopkumar} and \textit{E. R. Negrin}, Appl. Math. Comput. 216, No. 9, 2740--2748 (2010; Zbl 1207.46037) Full Text: DOI
Xie, Kanghe; Wang, Yulin; Wang, Kun; Cai, Xin Application of Hankel transforms to boundary value problems of water flow due to a circular source. (English) Zbl 1277.76081 Appl. Math. Comput. 216, No. 5, 1469-1477 (2010). MSC: 76M25 44A15 PDFBibTeX XMLCite \textit{K. Xie} et al., Appl. Math. Comput. 216, No. 5, 1469--1477 (2010; Zbl 1277.76081) Full Text: DOI
Saxena, R. K.; Saxena, Ravi; Kalla, S. L. Computational solution of a fractional generalization of the Schrödinger equation occurring in quantum mechanics. (English) Zbl 1190.65157 Appl. Math. Comput. 216, No. 5, 1412-1417 (2010). MSC: 65M70 35Q40 81Q05 35R11 35A22 PDFBibTeX XMLCite \textit{R. K. Saxena} et al., Appl. Math. Comput. 216, No. 5, 1412--1417 (2010; Zbl 1190.65157) Full Text: DOI
Abu El Seoud, E. Y.; Kassem, M. M. Potential method applied to Boussinesq equation. (English) Zbl 1423.35302 Appl. Math. Comput. 215, No. 11, 3991-3997 (2010). MSC: 35Q35 35A22 PDFBibTeX XMLCite \textit{E. Y. Abu El Seoud} and \textit{M. M. Kassem}, Appl. Math. Comput. 215, No. 11, 3991--3997 (2010; Zbl 1423.35302) Full Text: DOI
Wang, Haiyong; Xiang, Shuhuang Uniform approximations to Cauchy principal value integrals of oscillatory functions. (English) Zbl 1179.65165 Appl. Math. Comput. 215, No. 5, 1886-1894 (2009). MSC: 65T40 65D32 42A16 65T50 PDFBibTeX XMLCite \textit{H. Wang} and \textit{S. Xiang}, Appl. Math. Comput. 215, No. 5, 1886--1894 (2009; Zbl 1179.65165) Full Text: DOI
Ayub, M.; Ramzan, M.; Mann, A. B. Acoustic diffraction by an oscillating strip. (English) Zbl 1166.76049 Appl. Math. Comput. 214, No. 1, 201-209 (2009). MSC: 76Q05 PDFBibTeX XMLCite \textit{M. Ayub} et al., Appl. Math. Comput. 214, No. 1, 201--209 (2009; Zbl 1166.76049) Full Text: DOI
Momoniat, E.; McIntyre, R.; Ravindran, R. Numerical inversion of a Laplace transform solution of a diffusion equation with a mixed derivative term. (English) Zbl 1161.65351 Appl. Math. Comput. 209, No. 2, 222-229 (2009). MSC: 65M20 35K30 35K05 35A22 44A10 65R10 PDFBibTeX XMLCite \textit{E. Momoniat} et al., Appl. Math. Comput. 209, No. 2, 222--229 (2009; Zbl 1161.65351) Full Text: DOI
Li, Ling-Xiao; Wang, Ming-Liang The \((G'/G)\)-expansion method and travelling wave solutions for a higher-order nonlinear Schrödinger equation. (English) Zbl 1170.35536 Appl. Math. Comput. 208, No. 2, 440-445 (2009). MSC: 35Q55 35Q51 35A22 35B30 PDFBibTeX XMLCite \textit{L.-X. Li} and \textit{M.-L. Wang}, Appl. Math. Comput. 208, No. 2, 440--445 (2009; Zbl 1170.35536) Full Text: DOI
Wang, Ping; Zheng, Kewang Regularization approach for inverting the exponential Radon transforms (ERT). (English) Zbl 1163.65097 Appl. Math. Comput. 207, No. 2, 514-518 (2009). Reviewer: Som Prakash Goyal (Jaipur) MSC: 65R10 65F22 44A12 PDFBibTeX XMLCite \textit{P. Wang} and \textit{K. Zheng}, Appl. Math. Comput. 207, No. 2, 514--518 (2009; Zbl 1163.65097) Full Text: DOI
Huber, Alfred The calculation of novel class of solutions of a non-linear fourth order evolution equation by the Weierstraß transform method. (English) Zbl 1149.35304 Appl. Math. Comput. 201, No. 1-2, 668-677 (2008). MSC: 35A22 35G20 35C05 PDFBibTeX XMLCite \textit{A. Huber}, Appl. Math. Comput. 201, No. 1--2, 668--677 (2008; Zbl 1149.35304) Full Text: DOI
Dernek, Neşe; Srivastava, H. M.; Yürekli, Osman Some Parseval-Goldstein type identities involving the \(\mathcal F_{S,2}\)-transform, the \(\mathcal F_{C,2}\)-transform and the \(\mathcal P_{4}\)-transform and their applications. (English) Zbl 1209.44004 Appl. Math. Comput. 202, No. 1, 327-337 (2008). MSC: 44A15 42A38 PDFBibTeX XMLCite \textit{N. Dernek} et al., Appl. Math. Comput. 202, No. 1, 327--337 (2008; Zbl 1209.44004) Full Text: DOI
Aghigh, Kamal; Masjed-Jamei, M.; Dehghan, Mehdi A survey on third and fourth kind of Chebyshev polynomials and their applications. (English) Zbl 1134.33300 Appl. Math. Comput. 199, No. 1, 2-12 (2008). MSC: 33-02 33C45 41A10 65R10 PDFBibTeX XMLCite \textit{K. Aghigh} et al., Appl. Math. Comput. 199, No. 1, 2--12 (2008; Zbl 1134.33300) Full Text: DOI
Bettaibi, Néji; El Kamel, Jamel Asymptotic expansions for a class of \(q\)-integral transforms. (English) Zbl 1153.44001 Appl. Math. Comput. 198, No. 1, 433-444 (2008). Reviewer: Alexandr L. Brodskij (Severodonetsk) MSC: 44A15 PDFBibTeX XMLCite \textit{N. Bettaibi} and \textit{J. El Kamel}, Appl. Math. Comput. 198, No. 1, 433--444 (2008; Zbl 1153.44001) Full Text: DOI
Fitouhi, Ahmed; Bettaibi, Néji; Bettaieb, Rym H. On Hardy’s inequality for symmetric integral transforms and analogous. (English) Zbl 1132.26356 Appl. Math. Comput. 198, No. 1, 346-354 (2008). MSC: 26D15 33D05 44A20 PDFBibTeX XMLCite \textit{A. Fitouhi} et al., Appl. Math. Comput. 198, No. 1, 346--354 (2008; Zbl 1132.26356) Full Text: DOI
Brown, David; Maceli, John; Yürekli, Osman Identities and Parseval type relations for the \({\mathcal L} _2\)-transform. (English) Zbl 1142.44003 Appl. Math. Comput. 196, No. 1, 426-432 (2008). Reviewer: Alexandr L. Brodskij (Severodonetsk) MSC: 44A15 44A10 PDFBibTeX XMLCite \textit{D. Brown} et al., Appl. Math. Comput. 196, No. 1, 426--432 (2008; Zbl 1142.44003) Full Text: DOI
Maleknejad, K.; Salimi Shamloo, A. Numerical solution of singular Volterra integral equations system of convolution type by using operational matrices. (English) Zbl 1132.65117 Appl. Math. Comput. 195, No. 2, 500-505 (2008). MSC: 65R20 45F15 44A10 65R10 PDFBibTeX XMLCite \textit{K. Maleknejad} and \textit{A. Salimi Shamloo}, Appl. Math. Comput. 195, No. 2, 500--505 (2008; Zbl 1132.65117) Full Text: DOI
Zhang, Xinhong; Tong, Dengke A generalized Weber transform and its inverse formula. (English) Zbl 1193.44024 Appl. Math. Comput. 193, No. 1, 116-126 (2007). MSC: 44A15 35K05 80A20 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{D. Tong}, Appl. Math. Comput. 193, No. 1, 116--126 (2007; Zbl 1193.44024) Full Text: DOI
Yusufoğlu, Elcin An efficient algorithm for solving integro-differential equations system. (English) Zbl 1193.65234 Appl. Math. Comput. 192, No. 1, 51-55 (2007). MSC: 65R99 45J05 PDFBibTeX XMLCite \textit{E. Yusufoğlu}, Appl. Math. Comput. 192, No. 1, 51--55 (2007; Zbl 1193.65234) Full Text: DOI
Garg, Mridula; Rao, Alka; Kalla, S. L. On a generalized finite Hankel transform. (English) Zbl 1126.44004 Appl. Math. Comput. 190, No. 1, 705-711 (2007). Reviewer: R. S. Dahiya (Ames) MSC: 44A15 35A22 35K05 PDFBibTeX XMLCite \textit{M. Garg} et al., Appl. Math. Comput. 190, No. 1, 705--711 (2007; Zbl 1126.44004) Full Text: DOI
Hassanzadeh, Hassan; Pooladi-Darvish, Mehran Comparison of different numerical Laplace inversion methods for engineering applications. (English) Zbl 1243.65151 Appl. Math. Comput. 189, No. 2, 1966-1981 (2007). MSC: 65R10 PDFBibTeX XMLCite \textit{H. Hassanzadeh} and \textit{M. Pooladi-Darvish}, Appl. Math. Comput. 189, No. 2, 1966--1981 (2007; Zbl 1243.65151) Full Text: DOI
Zhang, Suying; Zhang, Minzhen; Deng, Zichen; Li, Wencheng Solution of nonlinear dynamic differential equations based on numerical Laplace transform inversion. (English) Zbl 1123.65071 Appl. Math. Comput. 189, No. 1, 79-86 (2007). MSC: 65L05 34A25 34A34 65R10 44A10 PDFBibTeX XMLCite \textit{S. Zhang} et al., Appl. Math. Comput. 189, No. 1, 79--86 (2007; Zbl 1123.65071) Full Text: DOI
Ahmad, Bashir Acoustic diffraction from an oscillating half-plane. (English) Zbl 1114.76061 Appl. Math. Comput. 188, No. 2, 2029-2033 (2007). MSC: 76Q05 76M45 PDFBibTeX XMLCite \textit{B. Ahmad}, Appl. Math. Comput. 188, No. 2, 2029--2033 (2007; Zbl 1114.76061) Full Text: DOI
Yürekli, O. Identities on fractional integrals and various integral transforms. (English) Zbl 1127.44001 Appl. Math. Comput. 187, No. 1, 559-566 (2007). Reviewer: Khristo N. Boyadzhiev (Ada) MSC: 44A10 44A15 26A33 33B20 33C10 PDFBibTeX XMLCite \textit{O. Yürekli}, Appl. Math. Comput. 187, No. 1, 559--566 (2007; Zbl 1127.44001) Full Text: DOI
Takano, Katsuo On Laplace transforms of some probability densities. (English) Zbl 1124.44004 Appl. Math. Comput. 187, No. 1, 501-506 (2007). Reviewer: Dashan Fan (Milwaukee) MSC: 44A20 44A10 60E07 PDFBibTeX XMLCite \textit{K. Takano}, Appl. Math. Comput. 187, No. 1, 501--506 (2007; Zbl 1124.44004) Full Text: DOI
Mainardi, Francesco; Pagnini, Gianni; Gorenflo, Rudolf Some aspects of fractional diffusion equations of single and distributed order. (English) Zbl 1122.26004 Appl. Math. Comput. 187, No. 1, 295-305 (2007). Reviewer: K. C. Gupta (Jaipur) MSC: 26A33 45K05 60G18 60J60 PDFBibTeX XMLCite \textit{F. Mainardi} et al., Appl. Math. Comput. 187, No. 1, 295--305 (2007; Zbl 1122.26004) Full Text: DOI arXiv
Hayek, N.; González, B. J.; Negrin, E. R. A variant of the Stieltjes transform on distributions of compact support. (English) Zbl 1133.46022 Appl. Math. Comput. 187, No. 1, 202-206 (2007). Reviewer: H.-J. Glaeske (Jena) MSC: 46F12 PDFBibTeX XMLCite \textit{N. Hayek} et al., Appl. Math. Comput. 187, No. 1, 202--206 (2007; Zbl 1133.46022) Full Text: DOI
Brown, David; Dernek, Neşe; Yürekli, Osman Identities for the \(\mathcal {E}_{2,1}\)-transform and their applications. (English) Zbl 1228.44001 Appl. Math. Comput. 187, No. 2, 1557-1566 (2007). Reviewer: Khristo N. Boyadzhiev (Ada) MSC: 44A10 44A15 PDFBibTeX XMLCite \textit{D. Brown} et al., Appl. Math. Comput. 187, No. 2, 1557--1566 (2007; Zbl 1228.44001) Full Text: DOI
Dattoli, G.; Srivastava, H. M.; Zhukovsky, K. Operational methods and differential equations with applications to initial-value problems. (English) Zbl 1113.35009 Appl. Math. Comput. 184, No. 2, 979-1001 (2007). MSC: 35A22 33C45 35C10 PDFBibTeX XMLCite \textit{G. Dattoli} et al., Appl. Math. Comput. 184, No. 2, 979--1001 (2007; Zbl 1113.35009) Full Text: DOI
Yong, Xuelin; Chen, Yufu Direct reductions of a nonlinear partial differential system. (English) Zbl 1107.35304 Appl. Math. Comput. 183, No. 2, 942-945 (2006). MSC: 35A22 35Q58 PDFBibTeX XMLCite \textit{X. Yong} and \textit{Y. Chen}, Appl. Math. Comput. 183, No. 2, 942--945 (2006; Zbl 1107.35304) Full Text: DOI
Brown, David; Dernek, Neşe; Yürekli, Osman Identities for the exponential integral and the complementary error transforms. (English) Zbl 1109.44003 Appl. Math. Comput. 182, No. 2, 1377-1384 (2006). Reviewer: R. S. Dahiya (Ames) MSC: 44A15 44A10 PDFBibTeX XMLCite \textit{D. Brown} et al., Appl. Math. Comput. 182, No. 2, 1377--1384 (2006; Zbl 1109.44003) Full Text: DOI
Yusufoğlu (Agadjanov), Elçin Numerical solution of Duffing equation by the Laplace decomposition algorithm. (English) Zbl 1096.65067 Appl. Math. Comput. 177, No. 2, 572-580 (2006). MSC: 65L05 34A25 44A10 34A34 65R10 PDFBibTeX XMLCite \textit{E. Yusufoğlu (Agadjanov)}, Appl. Math. Comput. 177, No. 2, 572--580 (2006; Zbl 1096.65067) Full Text: DOI
Syam, Muhammed I.; Hamdan, Abdelrahem An efficient method for solving Bratu equations. (English) Zbl 1093.65108 Appl. Math. Comput. 176, No. 2, 704-713 (2006). MSC: 65N25 35P30 35A22 65H20 PDFBibTeX XMLCite \textit{M. I. Syam} and \textit{A. Hamdan}, Appl. Math. Comput. 176, No. 2, 704--713 (2006; Zbl 1093.65108) Full Text: DOI
Liu, Kuo-Chi Numerical simulation for nonlinear thermal wave. (English) Zbl 1093.65082 Appl. Math. Comput. 175, No. 2, 1385-1399 (2006). MSC: 65M06 35A22 44A10 35L70 PDFBibTeX XMLCite \textit{K.-C. Liu}, Appl. Math. Comput. 175, No. 2, 1385--1399 (2006; Zbl 1093.65082) Full Text: DOI
Gzyl, Henryk; Novi Inverardi, Pier Luigi; Tagliani, Aldo; Villasana, Minaya Maxentropic solution of fractional moment problems. (English) Zbl 1157.44300 Appl. Math. Comput. 173, No. 1, 109-125 (2006). MSC: 44A60 65R10 PDFBibTeX XMLCite \textit{H. Gzyl} et al., Appl. Math. Comput. 173, No. 1, 109--125 (2006; Zbl 1157.44300) Full Text: DOI
Novi Inverardi, Pierluigi; Petri, Alberto; Pontuale, Giorgio; Tagliani, Aldo Stieltjes moment problem via fractional moments. (English) Zbl 1089.44003 Appl. Math. Comput. 166, No. 3, 664-677 (2005). Reviewer: Zenon J. Jabłoński (Kraków) MSC: 44A60 65R10 PDFBibTeX XMLCite \textit{P. Novi Inverardi} et al., Appl. Math. Comput. 166, No. 3, 664--677 (2005; Zbl 1089.44003) Full Text: DOI
Liu, Kuo-Chi; Lin, Chien-Nan; Wang, Jiun-Shen Numerical solutions for the hyperbolic heat conduction problems in a layered solid cylinder with radiation surface. (English) Zbl 1070.65103 Appl. Math. Comput. 164, No. 3, 805-820 (2005). MSC: 65M70 35L15 35A22 80A20 80M25 44A10 PDFBibTeX XMLCite \textit{K.-C. Liu} et al., Appl. Math. Comput. 164, No. 3, 805--820 (2005; Zbl 1070.65103) Full Text: DOI